{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Way to find to improve my pole figure plotting algorithm\n",
    "- This Jupyter notebook is to validate/optimize pole figure plotting algorithm used in the upf package"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "from TX import upf, cmb\n",
    "euler=upf.euler\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.mlab import griddata\n",
    "from pf_for_lib import projection as proj_f\n",
    "import proj_cy\n",
    "\n",
    "import time\n",
    "from MP import progress_bar\n",
    "uet=progress_bar.update_elapsed_time\n",
    "\n",
    "###\n",
    "from mpl_toolkits.basemap import Basemap\n",
    "\n",
    "def cart2sph(x, y, z):\n",
    "    dxy = np.sqrt(x**2 + y**2)\n",
    "    r = np.sqrt(dxy**2 + z**2)\n",
    "    theta = np.arctan2(y, x)\n",
    "    phi = np.arctan2(z, dxy)\n",
    "    theta, phi = np.rad2deg([theta, phi])\n",
    "    return theta % 360, phi, r\n",
    "\n",
    "def sph2cart(theta, phi, r=1):\n",
    "    import numpy as np\n",
    "    theta = np.deg2rad(theta)\n",
    "    phi   = np.deg2rad(phi)\n",
    "    z = r * np.sin(phi)\n",
    "    rcosphi = r * np.cos(phi)\n",
    "    x = rcosphi * np.cos(theta)\n",
    "    y = rcosphi * np.sin(theta)\n",
    "    return x, y, z"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a set of discrete orientations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0, 360)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZzjjjDN3HOKEjUpqGxuNxRqhK20UiEYRCISSTSVYN1+O1aGVqn0wm0draytaxLy8vR0VF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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10613bf90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#grains=cmb.random(phi1=360,phi=90,phi2=360,ngrain=1000)\n",
    "#grains=np.loadtxt('/Users/yj/repo/vpsc/vpsc-dev-fld/mat/bcc/gamma_fib_ngr00100_sigma015.cmb',skiprows=4)\n",
    "grains=np.loadtxt('/Users/yj/repo/vpsc/vpsc-dev-fld/examples/ex15_FLD/dat/B_ST_00100.cmb',skiprows=4)\n",
    "\n",
    "\n",
    "\n",
    "#grains=np.loadtxt('/Users/yj/repo/vpsc/vpsc-dev-fld/examples/ex15_FLD/dat/B_ST_02000.cmb',skiprows=4)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "for i in xrange(len(grains)):\n",
    "    ph1,ph,ph2=grains[i][:3]\n",
    "    ax.scatter(ph1,ph,ph2,'.',s=0.5)\n",
    "\n",
    "ax.set_xlim(0,360)\n",
    "ax.set_ylim(0,90)\n",
    "ax.set_zlim(0,360)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Given the pole (hkl), find an equivalent set of poles with crystal symmetry is applied."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(24, 3, 3)\n"
     ]
    },
    {
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pQpObLcPlQvvCC0QNGwZOJ5avv8b+1FMQwv1sT3i+g3VJb01OTiY3N1f+PT8/\nX7RjliH6AwKMGDECh8Ph9cx9cU6S3Rf1baDYWPMR23wiqeaTTz5h/PjxnDp1ir+//3fWvbGON6xv\nMGfGHNlJ6ImHW7cmauJEOvuxqXv37s2XX35ZJUJs+PDhrFu3zm+su28paLG3rlKp/FaD/ejPj7A4\nLUHp9NIQb7wiNxfDyJHonn0W5/jxmDZvxpWVVev5QuWbqUuDiEsvvZQDBw5w+PBh7HY7K1euZMyY\nMV7HHD16pn/jtm3bkCSJZs2aVTtmWJE9WBAP0+121yn3vLHm4rlgiFp1UOnl1+l0rFixgtGjR7N+\n/XqGDBlC5m2ZtJ/anl6lvfj3i/+uMmZztZq/jhzJdpeLEqd3fnz37t1JSUnxu0j17ds3oFh3OTX3\ndBizUPmVSiVOp5Olu5fSOaEzXWK7yDniTR3zrf74Y4xZWah278ayaBHWd96B+PgmnUMgqG/hCpVK\nxeuvv86wYcO44IILmDBhAl26dGHhwoVyQtMnn3xCt27d6NWrFw8++CAffvhhjWOGjTe+MWx2i8WC\ny+WqtYFiTXMKZkSfKKDguc0nYt1TU1P57LPPaNu2LQBp89NI+jKJfe/vw3qzFW0370XqvpYteV2l\nYu9pMyCQa+vZsydbtmyp1bbzhaeX/4/jf/DLsV94ps8zVarBevZ8azQTqbQU/SOPoPnwQ1yXX47l\nrbeQ0tMb51xBRl0ryw4fPpy9e/d6/e3uu++W/3/fffdx3333BTxeWEn2YJHLsxNLfXLPgw1JkuSu\nNb7+ghMnTviNdVdqlSRen4hCrSDv1jxcFd4VVowqFZMSEylxuVjnR9X3hxYtWtQa614blv6xFI1S\nw43db/QqCCkaQHhGjtlsNpxOZ9AWTNXWrZVOuE8+wfZ//4d5zZo6E72p1fhwKUkF5xjZRRKL6MRi\nMBjqXQAjGPMRELXRhEqsUCjIz5/P0aNvYzAYZDs6KSmJvLwzlWiPlB+h0z2d2LV/F7279mbgwIGs\nX79entPwuDiilEpmFxTg8pmnvxfaarXWGuteE+Skl8wzSS/Cy6/X66tEjvmWhap3ZRinE+3cuRiG\nDweFAvPatdgffxzCpFRZoAhlU0cIMzW+IXC73ZhMJjmzyOFwhLzCqNVqlbUMzx7xkuSivPxnTp1a\nS1JSjhyrPXToUGbNmiXHAGzYsIHHvnkMe5SdLs92IWliEjFDY+TxVUAHnY7/WSx8VFzMxNNx2ZXn\nqBrvHUiNL0MAAAAgAElEQVSse01Ym72Wk5aT1e6tC1NM+EVEMUjx4xmPLtT92qDIycFwxx2otm/H\nMWkS1hdegAZENDY1fCV7KMl+Tkh2zyQWIV2g4QEx9c3EE/v5ZrNZ9nR7hoIqFCo6d/6EVq3upLDw\nJS69VMVPP20kISGBJ554gqysLK688kpmzpxJXFwcidMSiRsVR+FThZi3VWotIqZ7/88/o5kwgSdX\nrcLmdvPmm2/SpUsXCgsL6dOnj1dFlU2bNtUY614bFu9eTFJ0EoPTAkt68VcWSvR8E9WJRAaaw+Hw\nVvklCfXy5Rj79EG5bx+W997D+uabDSZ6KL3xoVbjw0ayQ93J7llKSHjbhe0oPm9qiP1zUUu+OptV\noVCTkfFP9Pp2DB/+BG+8cTtXXrmLKVOmeCWjlJWVoVAoSFuQxp4Beyi6p4jYH2K9vOrflZUxbv9+\n3j5+nPvuuYd77rmnyvmOHz+OzWajS5cu9bquwvJCvj30LX+97K+olPUrGaZQnOn5JsJ5hWrvWQZa\nXV5O7GOPoVu1CmefPlgXLUIKQrGOUMBTsoeyQQSEmWQXCDRbTUhPjUbjpSYHe+UOdNEQRSldLldA\n+/kKhYKkpIcYNWo53bqd4rff+mGxHPB7fnW8mvTF6bhOuTh8+2Ek55k5DYqNZWBMDH8/coSyakol\n5+XleQXV1BXL/1hep04vtcFX4xH5CYZt22g2aBDar76i7IknOPHhh1hatPDKDz9bEcoGERBGZK9L\nIT6n00lpaSl2u90r99wXwa4wWx1Emmx5eTkKhYK4uLg67ec3b34NjzzyLS5XGbt396OsbLPf4wwX\nGGj1QisqfqqgYI53nPTTycmcdDr5p0eghScuuuiiWuOxq4NbcrNk9xKubHsl7eLb1WuM2qBwOIia\nO5e48eNR6PWYvvkG5yOPoNJqZZVfBPY0xMsfKm88hF6NDxuyQ2A2smcDxeqSWJr6YfpqGL6Op0Be\nypiYK+je/QfU6ub88ccITpyoLFzoey1x18XR/NbmHH31KCVflsh/72U0ck1CAm8cPcqx0/vewcKW\n/C3klOY0WtKL6uBBjFddhe6ll3BMmYLpxx+RLrlEDueNioqqtvlDMJo9NgUUCgVutzukVZPPGrLX\nJ4mlsR10It6+Jg2jLguPXp9Jt27fEx19Kfv3T6Gg4EW/506el0zURVEcmnoI64Ez4a9PJiVhc7uZ\nX1QU8DkDgUh6GdNhTO0H1wWShHbxYhKHDUN56BCWpUuxvfYa+FTBrSmDT5Ikvxl84aLyh0uDCDhL\nyB5uSSyA3LlGxNsHq7qNRtOcrl2/pnnzG8jNfYrCwr8iSd6SWqlTkrkkE4VawcHJB3GZKu309no9\nNycm8t7x4xwMsN57bSi1lbJ6/2qu73x9cJNeTp5EP3ky0Q89hOPiizFt2YJzTGCLia+X318GX3Uq\nf6gIFw5aR9iQvboHEMokFn+Lj2f12UDj7es6D6VSR4cO75Oc/BglJUvJzZ2My1XmNR9tipZ277TD\n+qeV3Adz5XM8lpSEVqnk2TqmwFaHT/d+Wpn0EsROL6qNGzFmZaFeuxbT7NkUr1yJlJRU7/FqyuDz\nVfnBfwxCY8FzcQllgwgII7KDN7k8a7HVJ4mlMTLWhCkhqs8G0jSivg9XoVCSmjqbpKRXMJl+ZO/e\n4djt+V7HxA6OJWlmEsUfFnP87eMAtNZouLdlSz4tKWGX2exv6Dphye4lXJB4ARe1uqjBY2GzoZs5\nk6ixY5FiYjB/9x3W++6DIGppvhl8vkU7oNLBK1T+YIbz1oZQS/ewJLvL5apTA8XGno+IBPO1z5ti\nlW7e/CZSUpZjt+exf/8wrNbfvD5v/Uhr4q6KI//xfCq2VQDwQOvWNFOpeNpPZZO64I+Tf7DjyA4m\nd2t4VRfl3r1EDR6M9rXXsN9+O+ZNm3D36NGgMQOBr8oPZxJ7nE6n3y6vjUHKUNvrEEZk97wRoiFC\nQ5JYginZRYReIGWs/KGh84iO7k+nTmsBJbm54ykrWy9/plAqSF+UjiZZQ/bN2ThOOIhTqXikTRu+\nKyvj+wCTZPxh2e/L0Cg1Dev0Iklo3n6bqCuvRFFQgPnDD7G98gqEMkZcra7S4hkqVX6LxSJrb8Fw\n9AmSOxyOJk+v9kXYkF1EwwHyXnVDkljEmMGAxWKRTYm6dvQIxmouSRIqVQcyM9ei1bYjJ2cix4+/\nLX+uTlCTuSQT5wknObfnILkk7mjRgrYaDbMKCup1H+wuOx/t+YhRmaNobmhe+xf8QHH8OIa//AX9\nX/+Kq08fzFu34hoxosq1hQrVqfz+MvgaovJbrVZGjx6NwWBgxIgRJCQkVClE8cYbb9ChQwdUKlWV\najPTp0+nQ4cO9OzZk507dwKVC1P//v3rtBiFDdk9O7nq9foGq+0NJZlwxEGlJAiVKSHKQVUWhGxO\naurnGI2DyM39K7m5/4fbXemJj+oRRerLqZRvLKdwbiF6pZKZSUnsNJtZdepUnc+7/vB6TlqrT3qp\nDar164nq3RvVxo1Y58/H8umnSK1aVXt8qFVcMYfqMvh8Vf5A9/YlSWLFihUMHjyYqKgoZsyYwdKl\nS6sc17dvXzZs2CBXkxVYs2YNBw8eZP/+/SxcuJCpU6cClYVFhgwZwsqVKwO+vrAhu9g7DxYaosa7\nXC65FzsgB3M0BPVJphHSBPB48Yy0bfse8fE3c/z46xw4cBNmcwkOh4Pmk5uTeHMiR/5+hFNrTjGh\neXO66PXMKSjAUcfzr9i7gqToJAalDarT97Ba0c2YQdS11yIlJmL+/nscU6cG1QlXX9SlBJZozuG5\nt28wGGTNTuztB6Lyf/rpp2RlZREVFcXAgQP9dtPt0aMHqampVd6T1atXy7kSl19+OaWlpXI5qrFj\nx7Js2bKArz/0T8ADQnKGUrUTbZckSZJDGxtC9Pp8V+xEiAQfONPoAUCvN5Ke/ipt2jxDefm/ycm5\nBpOpEJPJRPPZzdFfqCfnzhwc2TaeTk7moM3GkhP++8n5Q0F5Ad/nf8/ELhPrlPSi/P13ogYMQPvm\nm9jvuQfzxo24ayhHfTZBqPz+MvhqKtpht9vJzc0lLi6uXqGyviWlk5OT5ZLS3bp1Y/v27QGPFVZk\nD3bt+Lpm0Hm2XfJMrGlKiKw5EUCkVqv93heVSkVS0gO0a7cEm+138vKuxu0+jFKvpM2iNqCEA5MP\n0M+l4fKoKJ4vKsJUTZKML1b8uQK35ObGrjcGOmk0CxYQNWAAihMnMH/yCbYXXoAQ9jVrbIgMvtqK\ndhQXF6PX6/nzzz/r1OlItH7auHGjX7Uf4MEHH6SkpITu3buza9euWscMO7I3du14fxDdW61WK1qt\nVrbP65vPXl/4Vp31DCDyDbsUSEgYQ8eOX+F2V5CdPQKXayfxneNJXZiK7Q8bhY8V8kSzZhxxOPhn\nQUGttqZbcrPsj2X0SepDelx6rXNWHDmC4dpr0T/+OK6BAzH//DOuYcMafjMaAQ2pZFsThMqvVGo5\nejSK7dtj+fDDWJ5/Po7CQiMnTpzgrrvuYuHChUycOJENGzbUOJbb7eb+++9n3bp1TJo0iX//+9/s\n2bMHOFNSWtjyCQkJLFy40G9asy/CKp8dgls7PpBxnE4nFRUVuN1uOewy2BoG1L7ParfbqaioQKFQ\n1FmriI6+jM6dN7B//3Xs3z+W9PQFNB9xA7bHbBQ9X8QFvWO56soYXj95khvj4mh2eiETLaA8tYfN\n+Zs5VHqIhy96uNbzqr7+Gv1996EwmbC+/DKO22/3232lJoTD/nNdUFYGOTlKDh1ScuiQgkOHlGRn\nV/6el6fA6TxzLRqNRI8ezYmNjWXq1Kls2LCBjRs3cujQIRIT/feylySJHTt2yK2fxo0bx6ZNm1i9\nejWnTp0iPj6eVq1asXr1aq655hpycnLIysqSbflWNThBw47s0HT93kQXFIVCQUxMTJVttaaQ7MIR\nZ7FYUKlUfuP+Azm/TpdB587rOXhwMjk5d2CzHab1jIcxbTdR8FgBs75Ip4+unDfLypjdurVXwQib\nzYZSqUStVvPBbx8Qq41lZMbI6k9mNqObORPtO+/guvBCLO+8g7tTp4beirCAywWFhQovQufkKE//\nrqC42PvZNGvmJj1d4qKLXFx7beX/MzLcpKe7ad26cofp+++HIEkSt956Kx9//DF79uzh119/JTU1\nlXfeeYehQ4fy2muv8cILL3D06FEmTZpEy5YtARg5ciSvvPIK8+bNY/ny5bz33nvAGVtetJIWtvxZ\nRfamWOXFtprVavXbvbWpIMJv7Xa73Om1Iem6anUzOnT4nMOH76Ow8BlstkOkv/V39gw4gHRnAbcu\nS+Ct48eZ2qoVKXq9XC1GEP9ExQm+2P8FN3S8AYPagMvlqtL1Vfm//6G//XZU+/Zhnz4d21NPQQPj\nIZoKYtGsqFCQn19J5pycM8TOyVGSm6vA4ThzvWq1REqKRHq6m/HjXaSnnyF0WpqbmjaQhHP+tttu\nY8aMGdx9991s2rTJ77HTpk1j2rRpQKX3ft26dfJnN998M126dOGf//yn13fWr1/P22+/TaAIK7IH\n02avTrIL+9yzLXJthGrIfKrTDjzLVwXaRTaQeSiVOtLT30KnS6eo6AXs9nzSPniTA1cVcfvTDlbM\nlJhXWMiC9HQvVV6r1bJ833KsLqvsmBM14ZVKJSqFAuPCheifeaZyS231alwDB9bzrjQu3G4oKlL4\nIbOCnJxYTp703mGIj68k74UXuhg7tpLM6eluMjLcJCdL9S5iK55Xjx49SE9PD7hKTSCtn1q3bk1a\nWhrt27ev9hhfhBXZ4YyDojHgaZ+LrZPa5tJY8ygvL0eSJKKjowMKo6zLXCrLXT2JVpvO4cPTcejH\n0+bVhRTeW8HfO0cx7fqTTGvVii4+3uGlvy+lW2I3Lk2+VHZWArjz8oiZNg3dTz9hHTGCildeQdmi\nBSq3O2SpxiYTHD5cqVoLm1mo3YcPK7HZPFtZS6SmSqSluRg+3E779grateO0lHaTkND48+3atWvA\nW2+erZ/atGnDypUrWbFihdcx48eP54033gBg69atsi1fE8KO7MGCr0QV9rlnYcpAxwmmze45j5iY\nmEbd3ktMnIxW25aDBydzrPt1xE3/B11fa0W/NAWz4wpYeVoqAPx+/Hd+OfoLzw94Xr53SqUS/ddf\no582DWw2TK++inniRFxuN9LpaEex/69Wq6vt9V4fSBIcOXJGOgs1WxD66FHvRSY2tlI6d+niZsQI\nlyyZ09PdpKRIaDSVmorNZiMqKqpJFqn6Fpv0bP3kdru5/fbb5dZPCoWCu+66i5EjR/L111/Tvn17\njEajbMvXhLAie2Oo8W63G6vVWqXtUlPBcx42m63J/QSxsQPo3PkbDhy4nvJrbkd7bDb/99wlTEkp\nZWvrCq44Hc215PclaFVa/tKlsiuswmQiasYMdEuX4urVC8vbbyN16IAeqtj6ni2gRD34QFpAWSyw\nd6+SQ4fUFBVpPAhdKZ0tljMLh0Ih0bZtpXp91VUuL1U7Pd1Ns2Z13ghoUgS79RPA66+/Xqc5hBXZ\nIfiS1Gw2N6jfGwTHG2+xWOrkJxAIRkkjg6ErnTtv4MCBv2C+ewZaaTpznx7LM+/m81X3Tthddlb+\nsfJM0sv27STeeSeqnBxsDz+M/YknwMPU8LX1RQqw0+mU/608TklxsZq8PC25uWpZ1RaSuqjIezEw\nGiulc/v2boYOdclqdnq6m9RU6WzxA8oIpzLScA6TXdj9ot9bfTPoGqqWehZM8GyH3BDU5/5oNK3p\n2PFrcnJuo/SeV2n3UQGXzbuHtf8qxXbse4qtxdzUZRLal15CO3cu7pYtqfjiC+jfv8ZxbTbIzVWS\nna3m0CGDx1aVgkOHVF7SGSApqVIqDxrkIiPDQVKSlbQ0F507a0lMlBpVOjdWUE0gCHU3GAhDsgs0\nRJKJOGVADpQJBRwOh1ffuWAQvSFQqYxkZi4nL+9xjt+wkNGbjrB80d/Ibr+Ey5ytufq+V1Bv2YJ9\n3DiKn3sOXevWqCQ4eVLh127OyVFSWKhAks48J4PhjHo9cKCD9HQXaWlO2rZ1kJRkR6erJJyw9UU0\nn9FYt9Thsw0Rye6DhtboEvHtNptNfpEaahfXV9OwWq1yIovb7Q5JnL0/KBQqUlNfRKdJJ6/v/zHu\n1xks3diZLz4uQXL/ytqJb/NVwiSyH1aQl6fm8GEV5eXez6R160rVul+/M6p2u3aVW1YtW1YnnTVI\nkrqKrS9gsVgav91zE8NXjY9Idh/U10b1bbuk1Wrl+vJNCc8FR6PRoNPpqKioaNI5+JtTSUkJOTk5\nHDp0iEOHDpGTk8MfBzpwtXQX4w+05/Nmbv6WP5fsFZnodBKpqU4yMtz07ev2cIRJpKW5611kxp+t\nb7FYcLvdsgMTGtPDH7psylA3iIAwJ3ugcDgcVFRUeO1buwLM8ApkPoHOxTNgR6/XYzAY5HnU90UL\n9EV3OBzk5+dXIbT4f2lpqdfxCd0TMI8w0zZvNd3/nEG06S4WzI8ifWwFiYkO7HYrBoOhUQt2iGtT\nqVTo9XpZ6rtcLi8PvyB+sKR+U9nsnpLdHcKYBIGwIntdH4IoZSXUZc9961BkrNUlYKc+OHXqFHv2\n7KGgoID8/HwvQufl5XktcFqtltTUVDIyMrjsssvIyMggIyODtqltWVW8ild/eZVETVtWrXiSPiPW\nk7hlAKkz96JLSEd5XfCKiAQKT6kPVPHw+0p98XM2JdGEeq5hRXYInKSeceUajQaj0dgoK2cgEX0N\nyVjzhNPplKVzdnY2OTk5HDx4kOzsbA4fPswpn/JSzZs3Jz09nUsuuYTrrrtOJnR6ejpt2rSpIpVz\nTuVw55o72Va0jQldJmBb9RrflTXn1ttczGj1Ld2+H4jyrkO0ym5F3LSmJ7wnRIkotVrtta/fEKkf\nCpNOaIahJjqcpWR3uVxUVFTI9nlN/d5CnbHmeSxUtmDOycmRfwSpc3JyOHz4sLxHDZUBKqmpqaSk\npHDJJZfIJM7MzKRDhw7EBtirXJIkVv65kke+ewSlQsk7I99haOvr6XhzNDfe6EB7eS9efnsBA+7N\n4NSnGQx8/iiWbAvpr6WjMoSuN5lAMKV+KEkXasKfdWQX9jkQUFx5MLrC1NR7zjdjzeVyUVhYKJM4\nOzubvXv3kp+fz+HDhznhUx6qWbNmZGRk0KtXL8aPH0+7du3OqNxt28oNDYxGo+z802q1AZclPmU9\nxUMbHuLTvZ+SlZzFohGLSI1N5Z13NFitCqZMOS0hH3+cD8eN49KFi7CnRHHV22VkH8kmc2km6vjw\nek18pb4kSTLxG9PWryuqKzgSKoTVU6xp5bNYLIwePZqPPvpIlqIqlYqffvqJRx99lN9++42lS5cy\nbtw4v2NVdxzAkiVLmD9/PgqFgscee4zJkytbHd10003MmDHDqwYYVErn33//nezsbIqKisjLy/OS\nzna7XT5WpVLRtm1bMjIyGDt2LBkZGV6Ejo+Pr/GeeNrhdX1xtuRv4c41d1JYUchTfZ7ir5f+Va4p\nt3ixhm7dXPTsWWmiSJmZpA8dyvtzn+WaOXMwpBro/4yJvcP20v7j9ujSwjN8TWzXisVPSH0h+T3L\nk4vPm1qtjqjx1cDfCy1JEm+99RbDhw9Hq9V6dWNJTU3l7bff5pVXXvE7lhinuuNKSkp47rnn2Lp1\nK5Ik0bt3b0aNGoXZbKZ379488MADXH755RQVFcmS+vjx415jxMbG0q5dO7p3786YMWNIT0+XCZ2U\nlCTvsTZVUI3D5WDe1nm8vO1l0mLTWD9hPZe0uUT+fPduJTt3qpg/3+q1J25/7DHG9ejBI//9L7Ou\nvIQP3mtJxn0n2TN4D+0/ao/xouBvHUmSFFSp6yn1xfaekPpi4TSZTE0i9QXJ7XZ7yAK7PBF2ZBc3\nXpBU2OcfffQR7777bpW2S6mpqUDt9pDvcWazmUOHDrFkyRJatWrF7NmzycnJoaSkhNTUVK+Aj59/\n/pmUlBTS0tIYOnQo6enpdOzYkQ4dOpCRkUFCQkK153e73XIUXVPgQMkB7vj6Dn45+gs3XXAT8wfO\nJ1rrXbp4yRINWq3EDTd4d4eVWrXCft99zHvsMbauX8/dbY/z7ZcZKG7KZ9/IfWS8m0H8yJo1kXCC\nr9Q3m81IkoRara4i9T0TeIIthU0mU8gDaiAMyS4gyvCaTCZ5D7ljx451+v6xY8fIz8/nyJEjsg29\nfv16vvzyyyqe7d27d9OuXTtat25Ny5YtZe/23LlzefLJJ8nKygppZRur1VqjGi9JEkt/X8qMjTPQ\nKDUsHr2YcR3HVTnOZoOVKzWMHu2kuZ9GL/YHHsD4zjsse/FFrnjySW5SFrBhXXuOTzrEwYkHSXk+\nhZZTWwb9+poC4v7pdLoqUt/X1vcM6qkvhNZiNpvrVFm2sRB2ZBcPRPTdUqlU2O12v7at1Wrl8OHD\nZGdns2fPHk6cOMGSJUtk+1l0dBHjJicno1Qq6dGjBwMHDiQjI4P//Oc/REdHM3v2bBQKBfPmzSMq\nKoq77roLgA8++IDi4mK5yWRTZ84J1dPTdnc6nfK9UavVnLKd4oFvH2D1/tX0S+nHwuELSY7xX7Xk\n66/VlJQomDzZ4fdzYmOxPvwwqTNnsvjeexkRE8P95gKW/rsjh+88RN5jedgO2Wj7XFsUqtDboXWB\np+1cm63vcrmw2+1BkfrhED0HYUh2AafTiUajwWw2s2fPHk6ePMlzzz3HZ599Rk5ODna73UvVhspA\nko4dO5KZmYnRaCQ/Px+dTscXX3xBamoqer2eO++8k1GjRnk58jZt2iQ/xIKCAvqfzvRyuVxYLBZ5\ney+Q0lG+aIhKKPLfAdnmE8UhhebzXc53PPD9A5ywnODpPk8z/ZLpqFXVP9bFizW0betm4MDqIwxt\nt92G9l//YsDf/sbcjz7isYIC/hl9nIeWtCN/Zj7HFhzDlmsj4+0MVMbQb80FA562vk6nw+12N1jq\ni8UlHOLiIczILkmSHNapUqm47bbb+PLLL+XP58yZQ1JSEj169PDyaLdr14433niD8ePHc80118jH\nl53uYOq7H+0pZYcOHcqsWbMoLS3F7XazYcMGnn32WXmLLzs7m86dO9eL6PWFZ0FMkUgjer7Bacej\nUmLetnm8/svrZMZn8t6w97iwxYVYLdZqnU/5+Qq++07FjBl2aoyC1emoePRR4h94gPs3b2Zbr17M\nKSjgoqgoBjyfgi5dR97jeewbuY/2H7VH06r+GWvh4qn2hWj9BA2X+hGb3Q8UCgV6vR6z2YxKpWLi\nxIkMGDCAjIwMlixZwi233MJVV13l9Z0dO3Zwww03UFpaysaNG5k7dy47duyoMrbncWvWrOHZZ59l\nx44dJCQk8MQTT5CVlYVCoWDmzJno9XrKy8s5efIkUVFR1db4rgsCVeN99++FduOpxRw4dYCp307l\n1+O/cku3W5jTdw7R2mh5UfANNBEv5LJleiRJwY03VqPCe8ByzTXEvPkm+mee4bWtW/ndYuG2nBx+\n7NKF5Htaok3VknNbTqWn/pP2GDqH3iatDfX1/NdH6nsiHHLZARS1vIRNHgngcDgoLi6WHWECu3bt\n4rXXXuOdd94JeKzy8nLcbnfADSN9M9bee+89oqKiuOaaa4iPj6+3s0a0AKrtgfsm0mg0GlldF3v3\nS/cs5W+b/4ZBbeDlAS8zuv1oL4nimSYsXsrKRQCyslqQluZm9WpTjZJIdCyN+eEHoidOxPryy/w+\neTID/vyTLgYDazp2RKtUYtpp4sANB5CsEu2WtiO2f2ARfZ6oqKiQswMbG2LLLZhboL5S30v7Ou0k\n3rlzJ8eOHWPGjBlBO28t8Ptgwy5xuLo6dD179qR///51dnTVJWNN9FjT6XRER0eTkJDApEmT6nS+\n+sLlcnm1fhLeYpvNVtls0lnKnRvuZMamGfRp24fNkzczKnMUDodDXgxEIQjPwBHRhXT7diO5uWr+\n8heT3IfMYrFgt9urjf13XnUVzqwstPPn09HlYkF6OttNJv4vPx8AYy8jnTd0RpOkYf/4/ZxcdrJJ\n7lU4QUh9nU4nt+zS6XSyYHjqqae4++67ef/993n55ZfZt29fwGOXlJQwbNgwOnXqxFVXXVUlc1Eg\nPT2dHj160KtXLy677LJqxws7skP1IapTpkypc0nlQOBLNBH6etNNNzVJZ1mHwyHn3ov4erfbLbcC\n3nJ0CwM+HMD6Q+uZP3A+q65fRVqzNIxGI7GxsXJTQbfbjd1ux2azyS2EheRZtkxHXJyb8eMrnX0a\njUY+3l/3UQAUCmyzZ6M8ehTtggWMS0jg/pYtWXT8OB+erCS2LlVHp3WdiOkTw6Gphyh8rjAsQkP9\noSn8A0ql0ktTufPOO7n66qspLS3l4Ycf5plnngl4rOeff54hQ4awd+9eBg0axLx586o95/fff8/O\nnTvZtm1bteOFlc3uiWBVmK1tHLGXD/htARUM1DQPz9LSYntGmBNmu5kXf3mRf+36F10Su7D6utV0\nb9m9ytgajUbuKOp2u3E4HF6VYMrKlHz1lZZJk2zodG5AIftHPDPKPO1PqFTnlZddhmPUKLT/+AeO\n225jdtu2/GI280BuLt2jouhqMKCOV9P+0/bkPpBL0fNF2A7ZSHs9DaU2LGVJk6JPnz788ccf3HDD\nDVx++eVeodS1YfXq1fzwww9AZVeYAQMG8Pzzz1c5TjzD2hCWT6MpvLPC411RUSHXkq+J6MGWVoLQ\nJpPJyz/hcrkwmUz8efJPrv7iav61619MvWgqP07+sQrRfSGyw/R6PdHR0cTExGAwGFi9OgqrVcEN\nN5Rjt9tl6S0kv1BFxfai0GYcDgcmk4nSGTOgogL1iy+iBt5v144YpZLJBw9Sdnr/X6lVkrYgjaSZ\nSRSvLGb/+P04S5w1zDa0BSAbG74lqQwGA2lpaXTo0CHgMY4dOyY3fmjdujXHjh3ze5xCoWDo0KFc\neslxqakAACAASURBVOmlvPXWW9WOF3aSvTqbvb5j1ZaxptFoqoTg+o4RbPh63IWEFRlu7//5PnN+\nnkOsLpZPr/2U4e2G1+s8Yvto5Uod3bu7uOIKHU6n0kvqi7RQkbHn6eDTaDQoFAqcnTphuf56DG+/\nTdkttxCfns67aWmMOXiQew8dYkm7dvL32jzWBm2alsP3HWbv0L20/6Q9uvTQx4WHcmGpqdjk0KFD\nOXr0qPy7WHyfffbZKsdWN/fNmzfTpk0bjh8/ztChQ7nrrrv6SpL0k+9xYSvZgylJPccSjji73S5L\nwEBegIbMx/N63G43ZWVl2O12DAaDvJVjt9vJPZnLzetuZuZPMxmYNpBtt2yrN9EFfv1Vwc6dKm6+\n2YVGUym9Y2JiiI6OlmMHPJ18orOrmLdw8jmefBIUCmJeegmn00kvtZonW7Tgi1OneKWw0EuNbD6h\nOR1Wd8BxzMGewXsw/ddU4xytVisjR45EkiSWLVtGr169uOiii1i+fLl8zKJFi+jZsyfx8fEUFxdX\nO1Z1x61bt44XX3yxvrexzvBcXGraelu/fj2//vqr/PPbb7/x66+/MmbMGFq1aiUvBEeOHJE7u/qi\nTZs2ALRo0YLx48cD+PXShSXZIbhtmwWcTqfsiIuOjg4o9DWYkkA4AkUte7G1ZrPZ+Pf+fzP408H8\nVPgTLw9+mU+u+YSWxobHoC9erD6d9OKtUqtUKnnXITY2FoPBgFqt9grLdblcsqrvbNMG6513ov/o\nI6Kys9HpdNzXsiWjY2J45sgRNpw4IW9bulwuovtE0/nbziiNSvaO2kvJlyXVznH58uWMGTOGU6dO\nMX/+fL7//nu+++47nn/+edkD3bt3b7788ks5oak6VHfcVVddxbfffitHJDYl6ltGesyYMbz//vtA\nZdj22LFj/Y4t6juYTCa++eYbgN3+xgtLsgcr4d9zHLvd7hVRF2jxh2BBSHRfj3tJRQmPbnyUKWun\n0Dq6NT/e9CN3X3R3UBYZmw0+/FDNmDEuv0kvAgqFAqVSKUt0oXFIkiT3R3M4HJinT0eKicFw2qOs\nUql4Iy2NdjodU4uKOHraPLBYLJVOz1Rov7Y9hgsMZE/O5ugbR/0+008++YRRo0axYcMGBg8eTFxc\nHPHx8QwePJhvv/0WgO7du5OSklLrO1HdcZIkkZWVxfr16+tyC+uNYJSRfuyxx1i/fj2dOnViw4YN\nPP744wAUFRUxevRoAI4ePUrfvn3p1asXV1xxBVdffTWSJH3jb7ywtdmDCYvFUu9eb8FYeIQ9rlKp\n5IcuSRLbc7czdcNU9pXsY9ol05h95Wx06uDZt199paK4WMFNN9XsKLPb7VgsFnlHQNwfX+++PTqa\nivvuI3bePBSbN+POyiJaqeT9tDSGHTjAXQUFfNmhA2qQI8ykWInklckcmX6E/CfyseZYSXk+BaW6\n8hwOh4PDhw+TkpLCqlWrvNoOt2nThqKioqDdj+7du/Pzzz9z7bXXBm3MQFDfRJhmzZrJi50n2rRp\nw1dffQVARkYGu3btCmi8c1qyC9hsNrRabY014hoDwuMunC7igTtdTl76+SVGfDaCMnsZX1z/Bc8P\nfD6oRAf44AM1KSluBg2qflvGZrPJGXT+FkKlUikHjMTGxiJNm4a7VSuMzzyD3WbDZrORqVLxSlIS\n/zGbeSo/Xw5L1el0lT9xOpLfSibh7gROLDrB/gn7MZ8043Q6KS4uDjjCsaFITEzkyJEjTXKuYEj2\nYCMsyR4MuFwu2T7T6/VyoExdUd+FR5IkKioq5Dx0haKySm3eqTzGfjyW2T/PZmjGUP5zy38YnD64\nzvOqDXl5Cr77TslNN7nwt755Jtuo1eqA7o9CoUATF4dz5ky027cT9+OP6HQ6FAoFo41Gbo+PZ+HJ\nk3x22jEmnHZKpRKdQUfqvFSS5idR8W0F2WOzMeWa0Ov1WK1WHA4HrVu3Jv90dB5AYWGh7HzynIMn\nxo8fz5VXXsn06dNrPE74RkLRgstqtYYF2cNaja+vZPdsGgGVqa9NueXi2Z3GYDDIoawf7/6YR354\nBKvLyj+H/JPbet7WaPNaurRyr3zy5KoqvCC6w+GQt/7qMg/nlCmoX3sN/ezZMHIknFb3n9Pp+NVm\n44GCAjqq1XTQ6eTMO/FcE+9IRJuiJfeOXHKvziV5WTIul4vy8nJ69+7NnDlzOH78OEqlku+++46n\nn366ytw934vPP//c7xx9jwPIzs6ma9euAV9nQ+C7AxTqBhEQppK9IWS32WyUl5ejUCi87OOmmovw\n+Ht63F0qF4/99Bi3f3M7KTEprLtmHde1u04OUQ0k+qkucLthyRI1Awa4SUur6qgSWXQ6na5+qbsa\nDY5Zs1D++Seq09tjSqWSaL2e5Z06YVSpuLOoCJtKJTv5RP0Bt9tNzLAY2n3ZDk0bDap4FQMHDmTX\nrl20bNmShx56iCFDhjB48GAeeugh9Ho9DoeDN998ky5dulBYWEifPn2qSHKBmo7bvHkzQ4cOrdu1\nNhCexTJCjbDLehMBJ+Xl5XUKX/VVS6Ojo2WJ0ZAwWLfbzalTpwIqGOnZLEKoxTuP7uTWr24l+1Q2\n0y+azt/6/Q21Qi0HtniquhqNRk5HbcjLsXGjktGj9bz3no0bbjizleZ2uzGZTLjdbgwGQ8N2JCQJ\nXf/+KI4exfq//4HHvfmhrIzRe/YwvlkzPsjMlLPvHA6H19ae8GX8+eefLFq0iAULFniZPJ693uFM\nuq5ara6zI7eoqIg77riD1atXN0mTTavVisvlIioqipEjR/Ljjz82JeHPjqw3T9QlY03YxzqdTnbE\nBcPRF+gYVquViooK2dHllty8/J+XGbR8EGaHmS+u/YLnBj+HXqNHrVaj1+urBLeIOPny8nJZ+tZn\n7osXq4mPlxgzxnvPXLSnEokzDYJCgWPOHJT5+agXLfL6qH9sLLNTUvi0uJg3jh6tsqcvkkTEve3S\npQtZWVly1p74V6lUotfr5cQdQE7cEXv6Xok7NSA/P59Zs2aFRMKGS4GOsLbZA4GQ3uIlbmoHjG8O\nvMFgIK80j7vW3MWP+T9ydbureW3Ya7SIaeH3+6Lggee+tpCCIqRVSDONRlOr7VdSAqtXq7jlFqcs\nbEUYLoDRaAyaZHMPGIBr8GA0L76I8+abwcOr/lDr1myrqGBmXh4XGY1kxcQAyIU1PM0sp9PJX/7y\nFzl6T8TqCwkv3glxj8RWZl0aQvTq1avJA2rCgeCeCEvJHqg09U0N9SV6MLfwqouxr6iokHPgDQYD\nn+35jN6Le/PL0V94dcCrLB27tFqi+0KEpkZFRREbGyvntbvdbqxWK+Xl5bIGI6SfLz7+WI3NpmDK\nlEr1VySzCNMi2Cqsfc4cFMXFaHzq8SsUChZmZJCu1XLTgQMcOW2ziwy/6OhoeRETWo54hiqVqkqe\nPuBVmsszcUetVsstnz2lfnX3qCkgzhsuUh3ClOy+teN9IUmS/PLXlLEWTDXeF2azmcGDB8sx7naF\nnXvW3MOUN6ZgW2DDOstKYn6iF7mWLl1Kjx496NmzJ8uWLav2nOPGjaNt27ZMnDgRg8FAdHQ00dHR\n3H///Rw6dAibzUZFRQXl5eWyV11c4wcfqLnwQjc9e0qyyqtSqTAajY3Sflnq2RPn9dejfv118AmA\niVOrWdahA6UuF1P276fsdKWY6ppw+u7pC3ND1Hzzl6cvSZKsGen1etk8EZF8ZrMZq9XqFe/flAjV\ndp8/hCXZa4Kc6202o9FoiI2NbdQe4v7gdDpZuPD/27vysCau9f1OEgQCSBCVCvgTRcSFFsRSt9Yd\nQVRESxFRcavVW9FqbV1ur7UurXrVLha3tl7FXQQVRaG1LlgtuCPWFa2I4EIFRCEECJnfH3jGyZCB\n7ATJ+zw+LWGYOUnmm3PO973v+23EoEGDYGdnh/Sn6egR0wM7r+/ExHcnInFrIsJHhivd0IWFhVi+\nfDlOnTqFkydPYtmyZbzOI7NmzVKy3yLS1SlTpmDDhg2MdJXYbEulUjx//hxpaTKkpwswdmw503CS\n1NANWfqp+PJLoKICFiq01l5iMb5zdcWZkhIsz89XeyxEp88W7pCaPju7TwKeLdcl7jyWL0t/bHGP\nTCar0Z1HXyBjMRWzScBEg51vRmZbR6mjWNMnx56cg3Ds9+3bh5DhIVh5diUG7BwAuUKO+KHx+O+w\n/6KrX9dq4/r999+r8b75eNq9e/dWSa/s2bMnTpw4AQBMM0n2DLhzpyUsLWkEBT1jLKeN4e1Gt2kD\n+aRJEG3eDOrOnVevv1yBBVtbY4KDA9bl5+NgIb8ghg98On3S2YWt2CNBT4KZ/B3bcahGdx49w1Qa\nRAAmGuyqlvFsxRrx+jLmkozcuCSjnZWdhY9SP8KSM0swzH0Yjr5/FL3deqtsHw1UscFcXV2Zn52d\nnfHw4UONxkBRFNzd3ZGRkaH0WpXu3Br79okxaFAZHBxoJrlVUlKC4uJilJaWGvSmrpg7F7CygsXi\nxQBefV4kcbmqTRv42dhgyt9/4zareYc2IDp9bm6DK9xhBz553+zlvkAgQEVFhZInH7scqgvIzG4q\nDSIAEw12QPVsStO0UulGnXMA+knQkYy2hYUFYq/GIl+Rj2v/XEN0v2hE94vGG5I3jDKL8vG7Dx0S\noLCQwsiRVRTUxo0bMwkvgUDA2G+Rsl55ebl+A9/JCfIZMyCKjwd18SJjZkmW1FZCIba3bQtLgQAR\nd+6gpJK/SYUmYLvs1KTTJ1l99nKfbBP4knxsE09tYV7Gqwm2dZRQKIS9vb3G2WRdjTBIqUehUKAM\nZZh+Yjo+PfkpLGgL/DbiN2TGZyIwMJDpIsMHZ2dnPHjwgPk5NzcXzs7OuHDhArp3744ePXogKSmp\n1vGoSvgoFAps3kzB1VWOgAAR89BRlfAiS9/S0lI8f/6cqSboYzarmDEDtKMjhF98oZKh52ppic3u\n7rhVWopp9+4ZZJXBremzE7dkCc9e7rNr+twkH1EDspN86o6ZPFBMRQQDmGCdnQ2yHyP7U2NnUgkR\nBXjZoebIRJzKPoX5fedj6/atcBY7Y+nSpbwJJ/aNMWDAACxatIjpPHP8+HEsXrwYEokEqampKv9W\n1Y2VmZmpxO+urKzEzZulOHWqGebNK4OlpWqmINuYktzkpKYvk8mY7jO6sPhoOzsUz5wJuwULYJua\nCmFgdZedfvb2+NLVFV/l5KCbnR2mvvRYMwTIcp7M/GwmH6nPq6rpA6/0FGwmH0nyadICylQaRAAm\nGuzkqUvTtNY91gi0ndnlcjlevHgBAExvtQXdF6Ds7TJ4O3rjQd8HyMjIQN++fZX+7tKlSwgPD0dR\nURGSk5Px9ddf4/z583BwcMDcuXPx3nvvgaIozJ8/X2WzSgAYOHAgbt++jZKSEnh6emLdunXo378/\n8vLyIBaLGXsiuVyOkpISxMZWmVVGRqr3PskNTlZJ5GYm+11CeiFEHhIMNYG0pq4cMwbin3+GzZIl\nkA0cCFWSu9ktWuBccTHmZWejs1iMri8JN/oCUbixiU7EoIPU9VW58AJgApj9sBUKhYz1NrsbDF8L\nKK4llans2U2SG//06dMqG2OBgDcg1MWzZ8+qdZepDYTjTswcSKMGAoFAgFu3bmHjxo01unnqG9HR\n0WjcuDEiIyOZJSYgQLduzdC2LY1Dh8p0vga5mVUFAQl87mzG5tyLxWJY7d0Ly8mTURYTg8rQUJXX\nKZTL8d61ayhTKHDGywvN9WThzRfotf0N+z2TmCBmnCT4yXnIz2TWZ/P9yedDVqTx8fGoqKjAtGnT\n9PL+1ET94MZTFAU7Ozte2qM259Nkn8XOEZAnMsncAmDspDw8PODn54fi4mL9J7t4IJFIMGbMGCXD\niYsXGyM7W8Aw5nQFX6abdLTlsviI9bVCoXil8hs5EopOnWCxaBHA6bQrk8kQGBgIiVAIp//8Bw8D\nA/F2cDDkNXx+ISEhcHFxwQcffKD0+v3799GnTx94e3tj3LhxTGb98OHD+Pbbb9UKdKD2mj7ZDnC5\n+6qSfGTGB6oUeH/++Sfy8/M1vj/i4uLg5eUFoVCIS5cu8R6XnJyM9u3bo127dlixYkWN5zS5YAeU\nl1K6Qt1gJ2Sd0tJSWFhYMIHOnbXs7OyYZNfYsWOZzi36TnapwujRo5k2zoQss3WrBRwcaAwdqp/s\nNhuqMt3s1tHFxcVMKZIQWAAAQiHKFy+G4O+/Idq8WemcW7duxbBhw0BRFL787DNMW7MG+XI5FrNM\nK7jgkowIFixYgBkzZuDKlSuwt7fHL7/8gvLycgQFBeH3339nmltq+p61qemzk3wkwXf27FnExMRg\n4cKFaNmyJdauXav2ON58803s37+/xsSvQqFAVFQUfv31V1y7dg27du3CzZs3eY83yWAnwgdj8Zq5\nZB1ra2vmCU66xdja2jKZXe5MYGNjw4g0CI33xYsXNXLYNQVZdZDloVgsxrNnFA4eFGLkSDkMzcjk\nBgGXKFJWVobnz58zfvhyf39UvvsuLJYtA14mOQFgz549jFli7969MdTZGS0bNcLqR4+QyEO44SMZ\npaSkICQkBDRNIzQ0FImJiYwZx3vvvadWdaM2aFLTB5T5+5s3b8Znn32GmTNnolu3bhrt3T09PeHh\n4VHjvXPu3Dl4eHigVatWsLCwQHh4OBISEvjfi9pXNzL0Fey1nYeo5uRyOcNEI1+kVCplRBt8lFwy\n+/FJVtkcdm1JLUTjX1FRASsrK+b8sbHKohdjgZTuBAKB0kpHablfXIyi+fNB5eVB+OOPAKr46llZ\nWWjZsqXS+TpZW6OzWIzJf/+Nu2oq0/Lz8yGRSJgkWLNmzZCXl8d8Np07d8aZM2f0+r7VrelXVFTg\nzz//REFBAVJSUuDj44O4uDiMHz9er+PJzc1V+ixdXV2Rm5vLe7xJZuONBXbGnZgtkoYN5eXlEIlE\nGjP12JJVdqmHnFObLDef4URMjAje3gp4exsvj8p+CLJ57ux+c0x2v0sXyAID0ej771E0ahT+oWnY\n29tXU4IJKAo7PTzQ86+/EJGZiRMdO0Kspt6Bba/Flkc3a9bM4OaSXHlyeXmVJkEqlWLMmDEoLy+H\ns7MzHj16hAcPHlR7yPF1g/n6668xdOhQvY/XJINdn8t4vvPwNVQk5AltvNm4IEtAsloggc/OdNeU\n5SbbCJqmIRaLlQgi6ekUrlwR4Ntv1W8UqCtIBYBYYqtKoLLLelZWVqhcsgRU166wXbMGBTNnMkk+\n8r7Jd/N/lpbY5O6O4QkJ8Bg/Hq0sLbFgwQIMGjRI5ViaNGmCZ8+qNABisRj5+flwdnZmfm9stRmp\nAlAUBQcHB3z00Ue4efMm8vLyMH/+fHTu3LlasOvqYe/i4oLs7Gzm55ycHCUrbi5MMtgBZaqrLgHH\nDXYS0OyblrxeWlqKyspKhkWlTxIPH6mFBD/wqp4rEomYhCEAlduIbdtEsLSs3unFUGAnBjVZ7VAd\nO6Jy7FhY79qFlgsXKtWqib5dLpejrKwMAxo3xhcDBuDrDh2wyM0Ng1jtjth1b/LZdO/eHcnJyRg1\nahR27NjB5AKA6uQjQ4I4JQGAWCzG8uXLQdM0kpKSIBAIkJOTg2bN1PM0UAW+Sc/Pzw937tzB/fv3\n0aJFC+zevRu7du3iPY9J79kB/XZPJXvf0tJShpUHvFoqE88wUnYxFPiy3GyxDZnRra2tq82gMtmr\nTi8ODgYbJoBXD0dtAp2g/MsvITt7FpS9PQYMGID09HTY2dkhNDQU//rXv/DHH3/Ay8sLiYmJmGZn\nhwF2dvj8/n2cf7nFGjhwICIjI5GSkgJPT08cOXIEcrkcixcvxoYNG+Dt7Y3CwkKMGzeOueapU6cQ\nqILBp2+QQCerr9WrV6OwsBDff/898725urpqrJs4cOAAWrZsibS0NAwZMoRZ4bC7wQiFQkRHR2Pg\nwIHo1KkTwsPD0aFDB95zmhypBniVHZdKpZBIJDrV2wmvWSKRoLi4GHK5nJm5yQwrlUoZmyRjmBHW\nBKIUY4OsCsjyOC5OhPHjLXHokKzGBhC6ggQ66Xarbt26JqSnp2Pt2rXVyEhsFt/T8nIEZGVBAeB4\n27Z442XpCwDzUK7JMDMvLw8TJ05kuqYYCux8io2NDdasWYOsrCz89NNPdW0drfJLMslgp2kaL168\nQElJCezt7XUypyDBTpJvJKBJxp38ztAGD7WBzfwiMyh3n08wapQj7t0T4q+/ZBAKDbMCIdsabb3l\na8K2bdswZswY3vMpFApceP4cgZmZ6GptjR2urhCyjiUmlHy4dOkSLCws8OabNfez1wVc/sX69etx\n8+ZNbNq0yehmKipQv4KdEDYaN26s02xLGG7Eg40EPamRars01SfYgcU3g5LAv3u3Em+/7YDZs4vx\n6afFGplRajIeqbSqPRNp4VQXn8+WvDxMy8rCZ05OmO3goLSlI0IU8r6NOT5uoG/atAmXL1/Gli1b\nTCHQAZ5gN9kEHYEue3Y2p52o5sgMWlNgGRPqBhZZysfHVyUUx4+vMmIgqxOZTKaXACB5DZKoNIZG\nnw/jmjVDWnExVj15grdEIgxt1owxoyRJPZIBJ8lPXT33awM30GNiYnD+/Hls27bNVAKdFyY7s2vT\nKIL99yTjzl6+CwQCg2bcNQWjFFMzsBQKoGNHK7RrR+PgwVf7evZ+l4gytAkA9nh0biKhBygUCjx9\n8QJDs7LwQC7HmU6d0JpVTmNn9dnbHHZ+Q59bM26g79y5E8eOHcOuXbu0bkJiINSfZTxQlYh5/vw5\nbG1tNbrpyIOC0EqFQuFLddgrmEqgs28cdW6WY8cECA62QkxMGUJDVXPhVQWAOkQebcZjSLDHkycU\nos+tW/g/S0sc79gR1ioCmJvf4MpTiQxVH+MRi8WIjY3FkSNHsGfPnjp/KKpA/Qp2qVSKoqIihneu\nDkgZhJtxJ0tdNoi22RhLPy7YnHtNKgDjxjXC8eNC3LlTCnU+EnYA1CRXZZN3DOEtrym4WW6RSISk\nwkKEZmYismlTrG/Tpsa/J1UWVS22tPnO2VsbsViM/fv3Iz4+HnFxcXW6zakB9WvPrmmdnd0Zhnik\nq8q4A2Ce/mwKq7H2fIRuShKG6s42BQXAoUNCTJwoVyvQAfWIPGSbA6gm7xgbqgIdAAY5OGCuszNW\nPHyIrra2GM8i3HDBZfGxjSo0pS1zA/3QoUOIjY1FfHy8qQY6L0w+2NUBadEMAHZ2doydEMm4E206\nOSdJhJGHgS7cdU1A6KbalPp0Fb2oCgCSqCQghpr6aC6pDdgEFVUrjC9cXHC+uBif3r8PbxsbdFZT\nRUakp9wWW1zaMreqwQ30pKQkbNu2Dfv37zcZe2hNYLLL+LKyMhQUFMDa2rrGD1YVxx2oIqdoknGv\nbclbZdes3c3PFklwHzzqont3KwgEwJkz+ulXxha0WFtbM7M+N8HH7ppqSKi7tXlaUYGe165BCOC0\nlxea6LDl4HrxcZf75DWxWIyjR49iw4YNOHDggEauR3WE12sZT2rTbBon4U+TjLsmNWLukpf95CeS\nzppEK3zQBwvt8mUKGRkCfPedfkQvqlYYIpGIV6kHvMpw6/LQ4wM70Gvb2jS1sMCOtm3hf+MGJt29\ni/h27SDQwZ+Qz4uPNJLw9/eHj48P7ty5g6NHj9aHQOdFveTGk+WVTCZjjAWIYwi7dKQt60uVOQVp\nsMi2ZqrNlYZrOKFtTZ+IXj74QHfRC1u5RmS9bBClHtt+2sLCQsl+mnRS0YcjjyaBTvC2rS1WtmqF\n34qKsELDRhs1QSgUKmXWS0pK4OHhgcOHD+Pq1ato06aNSifg+gKTDXZA9b6d8OZJQ0UrKysljjvZ\n7+mrHMIWrZAGi+q40vAZTmiK0tIq0cuwYbqLXoh3HbG0qm085KFH7Li06SpbE7QJdIJJzZphlKMj\nvs7NxW/Pnml0XT4QghOZLB4+fAipVIqsrCwkJydjwoQJ8PLy0ukakyZNgpOTE9566y3eY2bMmAEP\nDw/4+PggPT1dp+uxYbJ79oqKChQUFCg5w/Jl3NnOKWKx2GgZZVVkFrIkJi6lupJTYmOFmDDBEomJ\nMvTtq91Mqo3jam3nY2e4ue9dnaoGt2e8Nt+ZtLISfa9fx8Pycpz28kIrHbLjbCajtbU1zp8/j6++\n+goJCQlo2rSp1ufl4vTp07C1tUVkZKRSGy+CpKQkREdH4/Dhwzh79iw++eQTpKWlaXqZ+uEuS8A1\nsOD2YhcKhYyrDFmWGqotMR/Y3UdIqyWKohi3WYqimAeCtrTfmBgR3NwU6N1b+0AnSjpdthJsqDJl\n5GszxbZmJiB+94Bu5T6xUIidHh6QAxidmQmZltsKbqBfvnwZCxcuxP79+/Ua6ADw7rvvwqGGJVpC\nQgIiIyMBAF27dkVRUZGSm40uMNlgJ2Avl4kfHHmdPVvVtWqNeIyTfSxxW1Xn5ufD/fsUTp4UYuxY\nuapeC7WCnTPgtmLSJ7htpogbK8n4s40oiWEF+S51/c7crazwc5s2uCyV4vP79zX+e3agW1lZ4erV\nq/j3v/+Nffv2Mc04jAmur5yLi0uNvnKawGSz8QRkL87OuANg9lZ1qcpig2tQya7Vskt6pKynTnZ7\n2zYRKIrG6NGa20Rzb2JjEUAoiqpmxcXHX9cXhjg4YHaLFlj96BHesbXFWDVdYbif0Y0bN/D5559j\n3759eOONN/Q2PlOByc7sbD9uS0tLpdIa28DAULOVJiCdP8lWgj1bsZNcbBdWbnabdBolqKwEtm0T\non9/BVq21GwLQD4jsiytK6YXt4kCgUAgQFlZmV4tt790dUUvOzvMzMrClZdbBC5IgwqappnGE6NH\nj4aVlRUyMzMxc+ZMfPvttxgxYgTatWuHUaNGKT2g2Fi7di08PDwgFApRUFDAvH748GEsXLhQ6/fh\n4uKi1AC0Nl85TWCywU6YVBRFMdlvLoe7rgUIXMum2rYSfCU9breVsrIyHD9OISdH804vhIVmG0IV\niAAAF0FJREFUKso1oGrVw7aeJv/0abktoijEtG2LJiIRRt+5g0IVQUoaVADAxx9/jB9//BFCoRB3\n795FVFQUYmNj8cMPP2D27Nm4ffs2JBKJyuYUQNXe+9ixY2jVqpXS64MHD0ZiYmI1LQYbbD89LoKD\ng7F161YAQFpaGiQSCZz01PzSZLPx5eXlKCoqYmYnEljGzrjzQR3DCU3ORbLbRLgxdaoEf/xhiWvX\nnsHW1kKt92tqyjXg1famJuZgbVJVTYg8Z1+8wMCbN+Fvb49YDw8lwk3//v2xefNmNG3aFBUVFbhw\n4QJWrVoFqVSK3bt3w93dHc2aNcOTJ08gEAiQlpaGr776CsnJybzXa926NS5evIgmTZowr82ePRvd\nu3dHqIo+dxERETh58iTy8/Ph5OSERYsWMTTtjz76CAAQFRWF5ORk2NjYYPPmzfD19VXrvbNQvxh0\nz58/V+olTtM0Q/ioY38vvTu5kOw2yXDn5VUiOdkKkZGlAMpQXFxWaztlU1OuAahWKeH7jGqz3Cbc\nAHUcebra2WF5y5b4LDsbqx89wucv7aVJgwoS6JaWlsjLy8OVK1dw7tw5uLu7Iz8/Hw4ODkpGkQ+1\nIO106dIFf/zxh8pg37lzZ61/Hx0drfE11UHd3xE8WL9+PQ4ePMhYPa9atQotW7ZUWjbrylnXBsYw\neIiPt0R5OYVJk6qaXNbmzEJmdMA0lGuA+oHOBZ9Sj91HvjZHnqlOTjhbXIzFOTnoYmODfvb2ePr0\nKRo3bswEem5uLlauXAlfX1+0a9dOr++9efPmWj0kDA2T3bPPmDEDdnZ2OHXqFKysrPDxxx9j1apV\nyM3NreoU+nKfy05w6dN2WhW4ltOGCHSarqqtd+5cibfeopXKWqTJILukRxpKEivj+hzoXPCxFwHl\nxpLcfT5FUVjbujU8ra0x4e5dPJDJQFEUZDIZLC0t8eTJE0yaNAnz5s1T4ro7Ojri2bNnTKKUnRwL\nDAyEr68vs9Rmj5ELmUxmkqo4k53ZhUIhpFIpYmJimH7kJ06cwIYNG5CRkYFu3bph1KhR8PDwYMo7\n2opV1AGX2mmoZXJ6OoWrVwX4/vvqohfucpcIbAhKSkoMKlhRB9o2k6gN7K0OgFo16mKRCDvbtkWf\n69fxW34+Qm1toVAo8PDhQ0ycOBE///wzCgsLq00Qffv2xd69ezFy5EjExMQwCT2+fbuqZNvt27d1\nptUaAiaboAOqAkzVTCWXy3Hq1Cns3bsXFy5cwDvvvIORI0eiY8eOqKysZJ7MxJJIV+dVbQ0ntMGs\nWRbYulWEu3dLIZHwH8eePa2trZWSXOQ7NdSDjw+GCvTawNaoc+XJTysq0JimmdVhRkYGduzYgZkz\nZ+LWrVsoLi6Go6MjNm3aBH9/f9y7dw/h4eEoLCxE586dsX37dpWJzh9//BH//e9/8eTJEzRv3hxB\nQUH46aefAABDhw7F8uXL0alTJ6O8fxWoX7ZU6qKyshKnT59GfHw8UlNT0blzZ4waNQpeXl5MqyFA\n+8DXxXBCU5SWAu7u1ggMrMT//scvZyVBpWqZzHWk4Xqx6dNymg1Cya1ra25VvgRTp07F06dPkZ2d\nDQ8PDxw/ftxg18/Ly8Po0aN17uOmI+oXN15dCIVC9O7dG2vWrMHZs2cxfvx4HDp0CEFBQZg/fz6u\nXr3KNIVgK7XUkacSlRifHFTfOHhQiKIifjcaVXV9blDV1lqKq1TTFWzuPSEP1SXJiST4yHclEonQ\nvn17PHjwADk5OThx4gSmT5+u83WSk5PRvn17tGvXDitWrGBez87OxurVq5GSkgKJRAJfX1/4+vpi\n6dKlOl9TV9T7mZ0PCoUCFy9eRFxcHE6cOAFPT0+Eh4fDz8+PqWsDys0GyPLcEG2P1EFQkCXu36dw\n9aqsGhdeH2PiU+mxZ3xNzqlvNZ2+wH74SKVSjBo1CsuWLYOzszMSEhLQvn17DB48WOvzKxQKtGvX\nDseOHYOzszP8/Pywe/dutG/fnjkmJSUFq1evxsGDB/XxljRF/aqz6wqBQAA/Pz/4+flBoVAgIyMD\ncXFxWLJkCdzc3BAeHo7u3bsDAHPDkhufyDb13faoJmRlUUhJEeLLL8tVBro+WjFxe8eTpa42zRbq\n6oFYG9iBLpPJEBERgaVLl6JXr14AqggvuuLcuXPw8PBg2HPh4eHMQ4QNQ1eHNEW9X8arA4FAAB8f\nHyxduhSpqan4z3/+g/T0dIwYMYLpIkrkqGR5SyS2hJ9vaPCJXgiBh9SH9fXwISU9IlHllvRqUumx\nA11fsll9gL3KKC8vR0REBBYuXIi+ffvq9TpcZZqrq6tKZVpqaip8fHwwePBgXL9+Xa9j0AYNItjZ\noCgKXl5e+Oqrr3D69Gl88803yMzMxNChQ+Hr64t33nkHOTk5jFiD1HJlMplOuvSaUFkJbN8uRN++\nUnz4YQBomsb27dvh7e0Nb29v7Nq1i9fthgg6PvjggxqvwXfcuHHjkJWVVc2KiitRlUqljFiHHeim\nIEQCXiUtLSwsUFFRgYiICMyfPx/+/v51Mp4uXbogOzsb6enpiIqKQkhISJ2Mg40GF+xsUBQFT09P\nRERE4PHjxygpKUFoaCg+++wzTJw4Eb/++isUCgUT+GTG01aswYfjxwXIyRGgZctNGDZsGJ49e4bl\ny5cjKSkJiYmJ+O6773iFFbNmzeIVa6hz3OTJk/Htt98yP6tS6bE96IglmEgkqvOuOgTskl9lZSVG\njx6N2bNnMz3N9Q0XFxdkZ2czP6tSptna2jLsz0GDBjHOS3WJBh3sBM7OzujVqxdOnz6N77//HidP\nnsTatWtRUFCAsWPHIjIyEomJiZDL5dWWuvoI/G3bRHB0pHHjxi4MGTIER48exXvvvQcbGxu0aNEC\nAwYM4C3l9O7dW8lCmw98x/Xs2RMnTpxQWZlgBz6XhiuXy5lVj77MJ7UBO9BpmsaYMWMQFRWFoUOH\nGuyafn5+uHPnDu7fv4/y8nLs3r0bwcHBSsew3WXOnTsHmqaVxDJ1gdc2QacJLC0tsWPHDuZniqLQ\nqlUrfPrpp5g1axYePnyIffv2YcKECaAoCsOHD8fgwYMhFot17iqTn1/V6WXChFIkJGTBxcUFWVlZ\ncHZ2Zph6zs7OBuNaUxQFd3d3ZGRkwMfHR+Uxquy52Qk+VZx1Y9B2iRc/8bUfM2YMJk+ejBEjRhj0\nukKhENHR0Rg4cCAUCgUmTZqEDh06YOPGjYx6LS4uDuvXr2eSl3v27DHomNSBOdhrAUVRcHFxwfTp\n0xEVFYW8vDzs378fU6ZMQXl5OUJCQjBkyBDY2dlp1VVmzx4RysspBAc/xsmT9kxnG/K3xkDTpk3x\n+PFjlb/jc7xhq/TYYhVuZcNQ/dMJ2YmwAyMjIxEZGYmwsDC9XocPgYGBuHXrltJrU6ZMYf5/2rRp\nmDZtmlHGoi7My3gNQFEUnJycMHXqVCQlJSE2NhZisRjTp09HWFgYduzYgZKSEpXJLdVZ7SrRi69v\nJby8REy32VatWinN5Lm5uXB2dsaFCxfQvXt39OjRA0lJSbzjVPc4grKyMiUnmVfjU8/aSpX5pL5M\nKVSBHehCoRATJkxAWFgYIiIidD736wzzzK4lKIpC06ZN8eGHH+LDDz9EYWEhDh48iNmzZ6OgoABB\nQUEYMWIEHB0dlTjbZLYTiUTIzRUgK4vC4sVljJKvUaNGGDhwIJYsWYKioiIoFAocP34cixcvhkQi\nUdmkgCvGePvtt9U6jiAzMxMdO3asdizbcVVdhR+7r5qq7jK69tJjawJEIhEmTZqE4OBgREZGmkSy\n0JTx2jLo6hJFRUVITEzEvn378PjxYwQEBOD999+Hk5OT0uwmEokglQogl5fD1laAuXPnIiwsDH36\n9MG2bduwcuVKUBSFOXPmYPTo0SqvNXDgQNy+fRslJSVo0qQJ1q1bh/79+6t9XF5eHsLCwnDy5Enm\nWK7Pnz6kvHxiFfbDr7ZgZbveNGrUCJMnT0a/fv0wdepUc6Ar4/UUwpg6iouLceTIEcTFxSEnJwf9\n+vVDWFgYnJ2d8eLFC2b5LBKJcOPGDWzcuBE///yz0cYXHR2Nxo0bM17lhgh0LrhuNOqo9NiBbmlp\nialTp6JHjx6IiooyB3p1mIO9riGVSvHrr78iLi4OqampyMrKwvTp07FgwQLmpt+zZw8iIiLQqFEj\no0hTt2/fjoiICAgEgmotio3hYaeOSo/YiZPcwLRp09C5c2fMmjXLHOiqYVqqt7i4OHh5eUEoFOLS\npUu8x/Gpi+ojxGIxhg8fDi8vL9y7dw89evRAUVERgoKCsHLlSjx48ABjxoxhSl0vXrzQaxNFVRgz\nZgwEAoGSK60xzSq5Kj0bG5tqKj2pVIqDBw8iOzsbM2fOhJeXlznQtUCdJejefPNNpoTFB4VCgaio\nKCV10bBhw6oJDuobiL3R2rVrIRKJGBeen376CVeuXEH37t0xcuRIeHp6Mnx9Usc2hCbdVFxp2S2U\nraysGMJMSUkJpk+fjoqKCjRv3hzOzs7IzMzUu3fc6446m9k9PT3h4eFRYymGrS6ysLBg1EX1HQEB\nAdi4cSNTR2/UqBECAgLwyy+/IDU1FSEhIdi+fTsGDRqExYsX49atW4wBoyaafHXADnQbGxuTsJ8G\nwBhMCgQCODk54cMPP8T777+PDh06YNmyZTh9+rRerqPOytFQXVWNDZMuvalSF507d64OR2R4iEQi\n9OvXD/369VNy4fn888/RuXNnjBw5Et7e3tVmfG2Ya9xANwX7aeBV40eBQABra2ssWLAAjRs3RnR0\nNAQCAf755x+9GDqqs3JMSkrC3bt3kZmZibNnz2Lq1KnadFU1CRj02/X391fiCJMOL19//bVBucuv\nC4gLT+/evaFQKJCWloa4uDjMmzcPb775JsLCwtClSxclEwk2c62mwCd7dFPymQeqB/qSJUsgFArx\nzTffMFuXZmr2cqsN6ujS+bqq6qtLizFh0G9YVx8uddRFDQUCgQA9evRAjx49lFx4vvzyS3h6euKD\nDz5At27dAFQ34+BSVk2xoQSgHOhisRjLli2DTCbDDz/8YJCqhDorR76uquZg1xJ8+3a2uqhFixbY\nvXs3du3aZeTRmR64LjxXr17F3r178c0338DNzQ1hYWHo2bMnQ1llB75AIEBpaSkoijKZhhJA9UBf\ntWoVCgoKsG7dujrvAPS6oM4+xQMHDqBly5ZIS0vDkCFDGO3xo0ePMGTIEADK6qJOnTohPDwcHTp0\nqKshmyQEAgG8vb2VXHgyMjIYF56UlBRQFAWBQACZTMbw74kk1BSsk7iBvmbNGuTk5GDt2rUGDXR1\nVo6G7KpqbJhJNa8paJrG7du3ERcXh6SkJDRq1Aj37t3D+++/jzlz5jCGk9pKc/UFbvONdevW4fr1\n6/jf//5n8FVHZWUlPD09cezYMbRo0QLvvPMOdu3apTShHDlyBGvXrsXhw4eRlpaGmTNn1ocEXcNl\n0BUWFmLkyJG4f/8+3NzcEBsbC3t7+2rHubm5wd7enlnyvi6Z//Pnz8Pf3x8CgQDdunWDQCDAiBEj\nEBAQwPSKB4wf+NxA/+WXX3DhwgXExMQYLY+QnJyMTz75hNGlz5s3T0mXDuilq6qx0XCDfe7cuXB0\ndMScOXOwYsUKFBYWYvny5dWOa9OmDS5evAgHB4c6GKXhsGfPHnzxxRc4evQo3NzckJ2djfj4eCQm\nJsLS0hIhISEICgqClZWVUuDrok6rDdxA37JlC06fPo0dO3aYTMKwHqPhBnv79u2RkpICJycnPH78\nGH369MHNmzerHde6dWtcuHABjo6OdTBKw0Imk1XTrNM0zbjwJCQkgKIoxoxDLBZX65Wur8BnB7pY\nLMbOnTtx9OhR7N6922RIPfUcDTfYmzRpomT2x/2ZoE2bNpBIJBAKhfjoo48wefJkYw6zTkHTNOPC\nc+DAAZSXlyM4OBjBwcFMq2MCXQKfG+h79uxBYmIi9u7daxCFXQPF6x3sfASepUuXYvz48UrB7ejo\niPz8/GrnePToEVq0aIF//vkH/v7+iI6OxrvvvmuU8ZsSaJpGfn4+Dhw4gP3796O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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1061b4910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#upf.polefigure.cells(pole=[1,0,0],dm=7.5,dn=7.5,csym='cubic',poles_gr=grains)\n",
    "from sym import cv, cubic\n",
    "vect=np.array([1,1,0]) ## hkl miller indices\n",
    "#vect=vect/sqrt((vect**2).sum())\n",
    "H=cubic()\n",
    "print H.shape\n",
    "vect_fam = np.zeros((len(H),3))\n",
    "for i in xrange(len(H)):\n",
    "    vect_fam[i,:] = np.dot(H[i],vect)\n",
    "\n",
    "## sort only the unique vectors.\n",
    "poles_ca = []\n",
    "for i in xrange(len(H)):\n",
    "    cH=vect_fam[i].copy()\n",
    "    if upf.__isunique__(a=cH,b=poles_ca):\n",
    "        poles_ca.append(cH)\n",
    "\n",
    "#print len(H),'->',len(poles_ca)\n",
    "\n",
    "#include inverse directions.\n",
    "n=len(poles_ca)\n",
    "for i in xrange(n):\n",
    "    poles_ca.append(poles_ca[i]*(-1))\n",
    "    \n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "for i in xrange(len(poles_ca)):\n",
    "    x,y,z=poles_ca[i][:]\n",
    "    l, = ax.plot(xs=[0,x],ys=[0,y],zs=[0,z])\n",
    "    ax.text(x,y,z,'(%i%i%i)'%(x,y,z))\n",
    "    \n",
    "ax.set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Find poles of grains "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time spent in euler:           4 [ ms]\n",
      "time spent to get all poles projected:           7 [sec]\n",
      "time spent for projection:           7 [ ms]\n",
      "time spent for plotting:           7 [sec]"
     ]
    },
    {
     "data": {
      "image/png": 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wXPRYw+VCRU0rZaPZV1t+33s51LZtWw4dOsT999/Po48+yhdffEF0dHSF+1cmSfXhhx/q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rXi6aefpn379iUqUhUm3eTNIcpDtRsKsudK2mYsSsXlRtRay4uje0Y3kiRdR0oaPHgwqampJCUl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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1061c7110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "poles_sa =np.zeros((len(grains),len(poles_ca),3))\n",
    "poles_wgt=np.zeros((len(grains),len(poles_ca)))\n",
    "\n",
    "t0=time.time()\n",
    "t_euler = 0.\n",
    "for i in xrange(len(grains)):\n",
    "    phi1,phi,phi2,wgt=grains[i]\n",
    "    t_=time.time()\n",
    "    amat = euler(phi1,phi,phi2,echo=False) ## ca<-sa\n",
    "    t_=time.time()-t_\n",
    "    t_euler=t_euler+t_\n",
    "    for j in xrange(len(poles_ca)):\n",
    "        p = poles_ca[j]\n",
    "        p = p/(np.sqrt((p**2).sum()))\n",
    "        poles_sa[i,j,:]=np.dot(amat.T,p)\n",
    "        poles_wgt[i,j]=wgt\n",
    "\n",
    "uet(time.time()-t0,head='time spent to get all poles')\n",
    "uet(t_euler,head='Time spent in euler')\n",
    "\n",
    "        \n",
    "poles_sa = poles_sa.reshape((len(grains)*len(poles_ca),3))\n",
    "poles_wgt = poles_wgt.reshape((len(grains)*len(poles_ca)))\n",
    "\n",
    "fig=plt.figure()\n",
    "#ax=fig.add_subplot(221)\n",
    "ax=fig.add_subplot(111, projection='3d')\n",
    "\n",
    "t=time.time()\n",
    "t_proj = 0.\n",
    "t_plot = 0.\n",
    "for i in xrange(len(poles_sa)):\n",
    "    t_=time.time()\n",
    "    #X,Y = proj_cy.projection(poles_sa[i]) \n",
    "    X,Y = proj_f(poles_sa[i])\n",
    "    t_ = time.time()-t_\n",
    "    t_proj=t_proj + t_\n",
    "    x,y,z=poles_sa[i]\n",
    "    t_=time.time()\n",
    "    ax.scatter(x,y,z,color='r',s=0.2)\n",
    "    if (X**2+Y**2)<=1:\n",
    "        ax.scatter(X,Y,0,s=0.10,color='k')\n",
    "    t_ = time.time()-t_\n",
    "    t_plot = t_plot + t_\n",
    "\n",
    "print\n",
    "uet(time.time()-t0,head='time spent to get all poles projected')\n",
    "print\n",
    "uet(t_proj,head='time spent for projection')\n",
    "print\n",
    "uet(t_plot,head='time spent for plotting')\n",
    "\n",
    "ths=np.linspace(-np.pi,pi,360)\n",
    "xs=np.cos(ths);ys=np.sin(ths)\n",
    "plot(xs,ys,'-',color='k',lw=0.5)\n",
    "\n",
    "ax.set_xlim(-1.1,1.1); ax.set_ylim(-1.1,1.1)\n",
    "ax.set_aspect('equal')\n",
    "## poles_sa and xy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Pole figures in Cartesian coordinate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dRaqvuVyof+cl9xiV13dC+cF8gpZpka3gLSq4zQ/G5LsQ2w/G2v/CUJYYfjBt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\nKz0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a161810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure()\n",
    "ax=fig.add_subplot(111)\n",
    "\n",
    "for i in xrange(len(poles_sa)):\n",
    "    #X,Y = upf.projection(pole=poles_sa[i])\n",
    "    X,Y = proj_f(poles_sa[i])\n",
    "    if (X**2+Y**2)<=1:\n",
    "        ax.plot(X,Y,'k.')\n",
    "        \n",
    "xs=np.array([1.,0,0.])\n",
    "xs_=np.array([-1.,0,0.])\n",
    "ys=np.array([0,1.,0])\n",
    "ys_=np.array([0,-1.,0])\n",
    "zs=np.array([0,0,-1.])\n",
    "\n",
    "X,Y=proj_f(xs)\n",
    "ax.plot(X,Y,'ro')\n",
    "ax.text(X,Y,'+x')\n",
    "X,Y=proj_f(xs_)\n",
    "ax.plot(X,Y,'rx')\n",
    "ax.text(X,Y,'-x')\n",
    "X,Y=proj_f(ys)\n",
    "ax.plot(X,Y,'bo')\n",
    "ax.text(X,Y,'y')\n",
    "X,Y=proj_f(ys_)\n",
    "ax.plot(X,Y,'bx')\n",
    "ax.text(X,Y,'-y')\n",
    "# X,Y=proj_f(zs)\n",
    "# print 'zs,X,Y',zs,X,Y\n",
    "# ax.plot(X,Y,'yo')\n",
    "    \n",
    "ths=np.linspace(-np.pi,pi,360)\n",
    "xs=np.cos(ths);ys=np.sin(ths)\n",
    "plot(xs,ys,'-',color='k',lw=0.5)\n",
    "\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(-1.1,1.1)\n",
    "ax.set_aspect('equal')\n",
    "ax.set_axis_off()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YPdgtg1E6ZcyYMYYGuQvlSZQOu9KWyxhkMqS59NW7JUemeOxygdK5b+kmOg4d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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1065c5910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure()\n",
    "ax = plt.subplot(111, projection='polar')\n",
    "\n",
    "R=[]; T=[]\n",
    "for i in xrange(len(poles_sa)):\n",
    "    #X,Y = upf.projection(pole=poles_sa[i])\n",
    "    X,Y = proj_f(poles_sa[i])\n",
    "    if (X**2+Y**2)<=1 or True:\n",
    "        r, theta = upf.cart2polar(X,Y)\n",
    "        R.append(r); T.append(theta)\n",
    "        plot(theta,r,'k.')\n",
    "        ax.grid(False)\n",
    "\n",
    "#r,t = np.meshgrid(R, T)\n",
    "\n",
    "#w = griddata(R,T,poles_wgt, r, t,interp=u'linear')\n",
    "#ax.contourf(t, r, w)\n",
    "ax.set_rmax(1,)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mapped to Cartesian coordinate of ($\\phi$,$\\theta$)\n",
    "- phi ($\\phi$): tilting  (distance from the pole)\n",
    "- theta ($\\theta)$: rotation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "f.shape: (4, 4)\n",
      "nodes.shape: (5, 3)\n",
      "ylim: 180.0\n",
      "nx,ny: 4 4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10a736ed0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+HDx4EIIgYPny5Rg5cqRHXeoP1EM0iWAqhsSBiU3q6Svwl7snUAAw\nFBkABmiyNI6pAOeGxte/fI0n3n4CokUMSE/RIuLM7jOYt2AeCksKIcgELHsz+noCcKlDQS1ANIp+\n6alKVTkaHTWWGtz7/L04duxYSHo258BqtEaDiDeivb11LYCdAHozxkoYY7dB2oWSCGAzY2wPY+w1\nAOCcFwB4D0ABpHUbc5tda8IHwcZUMBYbIZpEiEbv88jG40aoU9XQZGgg08pc5qi1fbRQ9Vbhr2v+\ninV/W4evHv4Kn+76FCUocSnbC/97AUP6D8EvB3/BqlWrcO+99zrOz5s9D5ePuhw/vfsTdqzdgZ6y\nngHPbbvPhzc1P+6pvtTpaggqAUzGoOqqApMxCAkNcUf6aCGKIu69/15s1m3GT5/+hPU/rUeJtcQx\negEAS1YsweCcwfjll1/w2t9ew1/f/CtEkzTV8Mi/HsHkyZNx+PBh/PLLL+jbt69HW7R9tNDkaCBr\nJ4M2p+mRKWeMxUaIRu92G4uNgBXQZGiQ0DcBbXPburog1whQZijx15V/xbq/rsO3L3yLT3/yX0/9\nET0eeeoRSc8PfsIvv/wSez3tozd+6mkqNTnyfX7Z88jNzQ1ZT4p3QhDhI6oNDc75dM55d865inPe\ng3O+gnOezTnvyTnPa/jMdUr/DOc8i3Pel3P+VTTLGmmCcVak7aMFUzMwFYM6Xe1y3N8Ho6AQUGAo\nQGb3TKR1TkOnSzrh2nHX4stdX7pcW3isEONGjgMA9OnTB8XFxTh37hxqamrw/Z7v8Yer/wAAkMvl\naJvY1uO9Ik3igEQkDEyAkChAlaoCt3EwOXPU6a5du5CdnY2ePXtCoVDguiuuw+fffg7gYp0dKTmC\nK34vuWjpndEbpVWlOG86jzqxDj8c/AG33XbbRTvberZTUAhom9sWXaZ1cWkI+MJ+f6Z21dL5nKAR\nGp1zv2/igETsObIHGckZSO2YirY5bfH7a3/vv551Ndi5b2dU9fS0u0PbRwtZGxkSBiZAk6UBt3K/\n9VSnqx31VXS2CBMnSjOwoegZDkdiBEFI0LcojnH3eCgoBCRNSULiwETI28gdLxL3B2NTDY8TP51A\nt3bdYDhqQPX31ejZpycqbBWOh6r+iB4DMgdg/cb10B/RY9euXSgpKUFpaSlOnDiBzt06Y+5TczFu\nxjg88O8HwHqwgHuA7mVsqsyeesh2u9XpalR/Xy2tVai/eL6srAxpaWmO+6WmpKL8Qrnj5ZY4IBFD\nxw7FJ+s/AQAcrDmI0rOlqO5YjZo+NUhKSsLMGTMxpN8Q3HbDbaivqQ9QQVec9QSkhlLSlCTI28hd\n7HbWM3FAYpN1e/LQSXRv1x2GowZU7ahCxpAMv/U8Kz+LpI5Jkp5/HIc5c+ZEXE9fWtqnKaq+q/Jb\nT+e6GjJkCD766CMAkdeTIAj/oIaGE7piXdTu5Y+b6aYeyL6cFflKU1BTAECay2VepnIfmPEAqmqr\nMPbGsXj11VeRm5sLmUwGq9WKPXv34P6/3Y99BfuQkJiAZ5c8G3AP0L2MofYiGWdgjAENk2vuWgoK\nAeo0NRSdFC75z58/HxcuXEBeXh5ef+N15Oblok2fNhCZiD179mDW5FnYtmobNAoNnnz0yUb3tetY\ns7cGNXtrwq5nU+d1xToouiggGkUwxqDspIT5jLlROm96ikzEvsP7cP/f7seevXug1WpJzzC58w+G\naD6DCCJaxMWuk3hBV6xDfnp+VO7l2Ovf8HMkF5zZh6p1W4HbF2lRnV2OfmdPQ91LDXW6GqffPY2U\nlIsuStSZauiL9Hjulucg2kRYKiwYt3kc0tPSYTAbkJaWhmHDhgEAbrjhBixevNjrPe35uTug8rfc\ntXtrUbWzCookBQSZAEEtoOOkji7pBIWAduPawVhsxM/7Bcx+QIu6EVuxMGc8ThSccIwGlZaWutgJ\nAG3atMHy5csdv2dkZCAzMxP19fVIS0tDXv88iAYRUydOxb/X/LtRGe06OjsFi4aeX/xXj78/ARRd\nshULxk1CubncoWfZz2WN9Kw/XI8nxz8JxY0KyFQyjNgywm89wxXl1qHntirABqh6qKDN0Tr0sRMP\netp/jtZC0A0bgFmzgPoROrz753xcfXVUbksQUYFGNOKYYBeluffK7A/PJ/8uQnNeD6MqBb+cLEFl\np0qIahEfb/0Y11xzjeN643EjTO1NqDtRh5ofa7Dm6zUY3m04hDIBXbt2RVpaGn799VcAwNdff+3Y\njeKMc++9clNlUI6Q9Ef0qNpaBdsFG2p+rIGpxAR1qtplMae9nuRt5EgcmIjZS5Nw9rwAucGC99/K\nxbGTx1C4tRDGeiPWrlyLy/pe5tJTra6uhsViAQAsXboU48ePR2JiosPOUlYKQSNg275tGDhsoN9l\n90Q49Xzy7yIMVSLkBgueXTISJbW+9aypqYGp1oSaH2uwfM1yjMoa5beegS709IZDz1obDKUGmEpM\nHh2FNRc9w8msWUBFBWDQA7Nnx7o0BBFeWv2Ihq5Y5xiuXPTtIpdz+en5ERvh8Gevv334OVDce2UA\n8N3571A6ajvqTAzIfwZy/a0Yd/s4cJHj+luvR9++ffHGG2+AMYbpo6fj1xO/Ys6LcwAb0Du5N569\n6VlH/i+99BJuvfVWWCwWZGZmYsWKFSHVRajY60lXrEPNSB2gB6rzn0GZimPMoOG4dOalUAtq3HHt\nHejdrTde+ecrUKeqMWfOHBw+fBgzZsyAIAjo378/3nrrLUe+L730Ev44848e7XRxBS93dWxmbxi4\n9/bDped3575D6ahtMJqA6vx/QatVYtL4URh3+zioZWrMu3NeIz2Lyoow75V5YCJD72698dKDL7nY\nSXq66tlUXJxwoivWoX6EZCfyF6FeCyzUSeci+QwiiGgRdT8akSBcfjQW6hZiYf7C0AsUIOHet193\nsA7WWqvDG6Tdb4RuK3DHP7SoGfEPrPvzwkbDs+5xVLiFw3DMANNZE9qPbo82uW389qlQu68WVTuq\noOqigjpDLW1B5IAmW+P3vL3z1ImqqwqaXhowhbSmxFv8ig0bpB6hfvgCrPvdw8ifAIdfEdEoQp2u\nlnrLYahjT5pFwgeDJz03vmXEE08Av45+Du/8eZFXLYGGqbAjesl7aMNODmd/HE1h1Vtx/rPzMJ42\not2IdmAKJm27bQV6Rgu7nfXDF3r8bgYC+dEg4o1WP6LRnPEWBMrdG6Q9dsaUAcCZe6Te0tX5jfNz\n7jkLGgGJuYloN6JdwOXSH9HDcNQAZXslTKdM0qI+ABzcMVTuz4NcUAhoN6KdSxnsLwTR6tlr49VX\nA7/9BizUMUzJv/jyVyWrYCw2Olyx24mXQFq+yuFJzyn3JGLKPZKdTWlpPG5E29y2aJsb3LZV43Ej\nuI1D2V6J6u+qoeohOcgiPcPHRTs9fzcJojlDDY0YI1pEKVZFscHRQ3RfHOcN9yF1l+mYdClQVqyw\nB7+ynLdA2UUJ829mcCZ5KhVisDTI3ouH3HUhYzCL/xyanbjordM+ChQuLd2jksaNnucs0qiIjEHZ\nXRmz8jC55H/EVG5y/O27BFRD6Ho2l0YKQcQ71NBwItpzoVa9FWVvloGbOZRdlRCUQkA9RHecH7KQ\nX3Tt7D7X7M1Of+JT+BNa3Dn4VeLgRJjPm6WXEkOjHmgg+fpbRncbna8RLWKj9SuBYo9Mym0collE\n5eZKXPj2AhKHJqL2+1qYzpjQZnCbkLS036cpPUPREghcT3ln6ZGh7K50BHdzz999Cs5XmPZQ9LQH\nJAw1JoldT9EkwnTKBMMJAwxFBnSe1jnqjQ1aj0G0RFpsk33j0Y3IeSUHvV/ujcXbG2+/rDJW4bp3\nr8Pg/w7GqGWjUHCuwPEln/3pbHR9visGvT4oomWs3FQJXsch1ktrGriVw3DUIAXp8mMPv7aPFl9X\nf41h24Yhb2seXjjyguOcfUGdNcuKGz66wS87/fF9oD+ih75QD1u1DYZCg8eXtaAQkNAvAR0mdkDi\ngERoemmQkJOAhD4J0GZ7fuHoj+hhKDTAVm2DvlDfKF+7njn/zcGrVa82KqO7nl0SujjO3fHFHei1\nsRdGfzfa40s0kJ0gokWEvkiaGuJWjtp9tRDrRfA6jvIV5dLPBo6avTUhaen+NysoBFizrPjToT8h\n963csGgJBK6nNksruUPPSXAEd/MWAt5QaIC+UN9od4rzd/O5H59rVM6mvpvd/tMNo78bLf0tycOn\np7HUCNNpE8R6EcYTxqAbop7sjNdnEEFEgxbZ0BC5iHlfzMOmP2zCobmH8M7Bd1BYUeiS5unvnkZu\nci5++fMvWHXtKtz75cVYHrfl3oZNf9gUlbIqk5UQFJILbUElgINDmaz07yEnBx4ueBibZ2/GobmH\n8NFvH6HIUuTykH3q26fQX+iPHWN3YMWUFbj3y3sdvdib2t2EL2/+0mPWoToucn7gd5zUMaTYEVaz\nFXd/cjc+Gv4RDtxxwKOe/trp/iIK1LGU/ojUi+aQgn2pUlUQFAKUyUrIO8olLbtJx0LR8p2D76Ck\nU4lLWZ/+7mkM6TIEO8buwGv9X8O9X0h/s6JFxE3tbsLHoz52OLhyJhxOqOz1ps2R4roEq6X9u/nR\n8I/w4/gf8c4Bz99Nf+z01KgISU+FAFX3Bj1DnBZqTs8ggog0LbKhsatsF7I7ZaNn+55QyBS4ecDN\n+LTwU5c0BecKMDFDionQJ6kPiquKca7+HABgbI+x6KDuEPFydpzUEfJOcmj7a5F6VyoS+iVIId3l\n3mVxfmnsPLYTmcpMdCrtBJkow80Db8YWcYvLQ/ZA8QFc2vZSiAYRaRVpKK4qxsn9JyEaRIxKGAV1\nmdpj/hWfVcBWa2vUG9X20UKbo4WsncwR7MoTzg98uVbe5MPfV2Cybd9vQ6Y2EyliCqq/rMa0ztPw\nScEnLtf7a6f7i8i5Pq16q18vZEEuQJulRUK/BKTelQptfy3kneToOb8ntP21SBiUgK43dQ1NywE3\nY8OxDS5lLThXgEvYJRANIrLkWThx7gTO1Z+D/ogeoxJGoa3YVgpX73aPis8qUH+gHrZam0efFYHo\naV9U2pSWgqYhGFqO1qUhsKtsFzKVmUgVUiHUC5giTMF7377nUt/+2umpURGKnh0u64COV3aUNByQ\nENL21ubyDCKIaNAiGxplNWVIa5vm+D21bSrKastc0gzuOhgfHZZiIuwq24WS6hKU1pRGtZxyrRxd\npnVBl2ldINfK/Rr2dXaW9Ov2X9Fd2d3RGPBk58B2A7Hh7AYAwO7K3SipLsFpw2mvZXLkb5QiXroT\nTAAxf/CV7xnjGaSoUxyRTrvLuuNkycmQ7LQTqGMxd42cNVQnqR0/txnSJuxaDu46GOtPrwcA/Fz1\nM07pTzX5N6s/opeiw5qip6evRklZTRlSNJI3T2OxEclIxuna0y71HYyddkLR017mcNRFc3kGEUQ0\naJENDX+YP3Y+LhgvIO+NPLz606vI7ZYLmSCLdbHCzt+m/A1VYhXG7RyH5RXLkdstFwkZCY6Hq6aX\nxuN16nQ1mJrFRahsZXclmIx5jHRqJ1g7I4WzwyfnhZGhMH/sfNRp6jBu5zgsLV3q+Jt1vCxV0scd\ndboaTCXVX6y1BAB5e7kjcq0iSdHofLB2NjdayzOIIFrkrpOUtikoqS5x/F5aU4qUNm4xEVRtsHyq\nU0yE/2Qgs0Nm1MoINN7z78/WPOdV+r3H9sY7W95xNAZKf2xsZ7vEdlg9c7Xj94z/ZCCrcxYSU6S8\nz1ed95i/AAFth4VvxCIU0jqk4YzsDJKmJEF/RI/Tp0+jZ4+eLmkCtdOOc33aHZvZj3vC55Zit5gu\nTekZqJZtVG2wYtpFb5b2v1n7CEJCVQKwx7N9iQMT48KvRErbFJyqPYXEAVJ5yteXo3ub7i71HYyd\ndsKpZyj11VyeQQQRDWL/FokAw7sPx9HKozhZdRJmmxnrDq7DNX2ucUlTbayGxdYQE+HnpRjfczwS\nlRdfBLzhXyQJJmaE87z0JZmX4IT5BM6nnodVsIbFzmCibgaz2DCQa+x6nqo/BWVfJT4+9zGm9p0a\nkp12Al1L4k4oMV0iraX7PeJBT+fvplWw4uNzH+P3437vUrZQvpvh1DOUXSfN5RlEENGgRY5oyAQZ\nXpn8Cq743xUQuYjZubPRt3NfvLFbiv0wZ+gcHK44jBmfzIDABPTv3B9vXXMxJsL0D6dDV6zDecN5\n9HixBxblL8JtubdFvNyB+D6wp3vpipdc7OzTvg9eWi/FsZh35byw2NmUt0X9Eb3DRXb94XposjQe\nfSc4+1ewbw9Vp6s99vbd7xkuPdOeTcPj/R7HnZPu9Fg2bzZ608jXyygQPQ1HDHiu33O4YvUVEHHR\nxtd/fB2WsxbMypyFQ4mHcNtnt4X8N9uUrXUH66AvlM7b9DbItDKPaf3VM9pa+mOjnUD0DITm+gwi\niEhAsU5iiLeHoT8vAtEggls5TOUmaLO1jnRNxWwIxEWzPa3dMZIgv7hozjkf0SJCX6gHN3GYT5vB\n5RzqNDW0OVoXt9c1e2ugL9TDeMoIZpU8SzIVk3YmOLlPd7ZDtIowl5tdbAy0Pt3rzblunG1UJavA\n5CygenOPKeI8VB9pPYPR0v6z3cuoJz3rD9dDrJfuaT5vhqq7SrqHk5723SyiUSq3+bQZyq5KQAbI\nEmVebbAHLAu0zO5pfWnpzUZ/8m6uLsydoVgnRLzRIkc0mgveonn660bZWGwEBw/IM6IvV9c2gw3G\nYiOYnDnmt0WDCG7kMBYboc3SeswHckBQS34jwABu4uAm6Rrnhoax2Og4x+QMgkpaEAjAq73GYiMY\nmMNGe0Ate+9ZppGF5H7afZeNJsvzolFvebtrGE09m3JbrkxTouqbKgCAKkXliDljLDVCnar2mhc4\nLi625JKe9vLZ9dQf0YMbJS1Nv5mgTlGDyRiMZ41ol9XOqw3G4ov3tkcsNhYbpfIpmMtIWKB6Oqf3\nZGNTdQcEH2GXIAjvUEOjGWIf4mVqKciWp3P2n5vCuWdqOGEAExlUqSpUbqqENlu63h5TwtsOFEEh\nIGlKEuoO1sFw2gDGGSBHox0i6nQ16g/Vg8kYuJJDkyNF/tQf0UO0us7rOxalqgUXGys3VcJWbYOp\n1AR9kR6aDA30RXokTUnyu9481Y06XQ1zuTkmu2zCqafztIdpownKJMnxVNXJKnQYI/llUKerXUYV\n3NFkaxw+RjjnMJ0yQZmi9Kin/pgeTGBgKimWjCZH0ygmi7cYPPbtytzEUVVYBS6TRsJEi9hkALim\n6qUpGwmCiB40dRKH+Dt86yudv0PD+iN61B+oh2gSUbOvBrACyq5KaLIkZ0veYmB4yr/uYB1stQ2j\nIhl2NGsAACAASURBVGqGpClJja6p+KwC3NgwGtFG1qgX7skO51gc+kLJXbT5rBmQA22HtIWgEpAw\nMMHrjoFg6ilYTUK5NtByejr228e/wVZtAwDUHqyFop20fVSdroYsUVpr0XFSR8i1rn2MQPX0NuXU\n1K4NZz25hcNW39BoPKKXGirpktO2LtO6+G1zoPUcaNrmBk2dEPFGy/l2NUPsD92P//sxcvrkoHfv\n3li8eHGjnQJVVVW47rrrMHjwYIwaNQoFBQUApJGE7aXbMeyGYcjpn4PFiy/GU/j7/X9Hn8v6YMwN\nY5A3OA8bN24EAJw6fQpdRnTBuD+Nw7CRw/DAkw9AlaqSXtwAFEkKWM5bYDppkhoEqVLP0P1B7G03\ngz1KqqeYJl99/RXGPjgWYx4dg3+v+XejvKypVtxw0w0udtrvvf3Udgy7dhhG3zMar2561eF/4dk1\nzyLvvjyMvXEsho0chu2l25E4IBGnTp+CVqtFXl4e8gbn4f6F93vcSeDvrgxv6Tx5ooyWnoJCwPk2\n59FlRBcMGzkMeXl5eHzN4zCfNcN81ozE/olgMgbLeQvMZWaoklVQp15cRxKKnvayjn1wLIbeNBQv\nrnqxUT419TWN7HTW89KHL8WYB8fg1U2vQpWpguWCBc+ueRa5d+YiLy/Ps56D8zDmhjG4f+H9QWvp\nLa23nTMbN25ETs5FPd3xpqevaxctWoTU1FTp7zPv4vfz5MmTF/9u8/Iwd+5cn3YQRLOAc97sP5IZ\nzY/aA7X8wg8XeEZqBj+06RA3m8188ODB/PDhwy7pHn74Yf6Pf/yDc855YWEhv+yyyzjnnNtsNt6r\nVy9eXFzc6NrH5z7On7rvKV69q5rXHqh15FVcXMwHDhzo+N1mtvGzH53lZ9ae4adXn+bF/yrmp1ec\n5icWn+Dla8v5hZ0X+NmPzvLaA7XcZrb5tMdmtvHaA7Ue09rLerzoOK/cU8kH9hnID+0/5NvOiZfx\n2gO1/MwHZ3hGSgb/6T8/8V+f/pX3S+vHtzy4hZ9efZo/dP1DfNHMRY3u52xn7YFaXr2rulFdhAPn\nvM9+dDbmelbvqeZn1p7hZ9ae4eXvlvPyteXNQ8/7t/DifxXzh65/iD/14FONymK3M1pa2vP2pYlX\nO/3Qc+HChXzJkiVe7QyFhudhzJ/L9KGP/UMjGjHm50M/o1daL/To3gMyyDAtfxree8Mt9kNBASZO\nbIiJ0KcPiouLce7cOezatQvZ2dno2bMnFAoFbr75Znz6qRRPQdFJASjgcc0B542nmRgYND01gApg\nKoZ2l7QDUzOYy6WesD9+BXz1KO1lzcjKQIfcDpg+czo2fLHBJY27nSeKTuC307/hYOVBZHTJQI+0\nHkgam4Rrx1yLzb9ulsrrxR7n44FG9PRFU/4iYqmnaBEdi2c16RposjVgatY89Dy6Ge1GtwMAWM5b\nPNYt5zysWgJN6+lLE292+qOn3R5PeDtOEM2VuGloMMbuY4wdaPjc23CsA2PsK8bYEcbYJsZYu1iX\nM5xo+2hRXl2OlC4pqC+ox6lXTyG5TTJOn3aL/TB4MD76qCEmwq5dKCkpQWlpKcrKypCW5hRPITUV\nZWVSPAUmY1j6wVKM/cNYzLlrDqqqqhzpiouLkZeXhwkTJmDLO1sc0SvNFWakzElB4sBEKDookDQl\nCdpsLZjc83RvII6dvJXVOY9BAwa52HnqzCmU/VaGM5Vn0COzB5KmJEHRQYGMQRmoS6uDuUKa7ln+\n1XIMGTgEt99+u0c7L7viMuyr2heQ4yZv2H2G1O6txalXT8FmsEm7bhqi1J6uPI1kbTLqC+px7uNz\nSG4XPT3zx+Tj57M/g0PaJps4IBFJU5JalJ7DRg7D1fdcjX1V+8KyrsJZzwtfX4DhhAGQX1xA6ksT\nO8HoCQCvvPIKhgzx/nc7YcIEbN++PWQbCSLWxEVDgzHWH8BsAMMADAEwhTHWC8B8AFs4530AfAPg\nsdiVMvwICgHqHmrY9DaIehG8jkNf1LiXOX/+fFy4cAF5eXl49dVXkZubC5nMd0yEuXPn4vjx49i3\nbx+Sk5Pxl7/8BQDQrVs3lJSUYM+ePViyZAlmPzoberMe2iwttNnaRt4UffUgw+FF0TmPe6bd08hO\nhUYBQSlI8TEaetjqNLUUcTNbi7vm3IX9n+zHzg92+rRz+vTpqKurC6qM7hiLjdJixjoOw1GDo1xy\nrRyCTAAXOUS9COMJIywVlkbXR0rPpx96GnMWzoHYXXSsqXAflSA9G+PQ08jBbdzjmiRfRPL7GU47\nCSJWxMv21r4AfuScmwCAMbYNwHUArgGQ35BmFQAdpMZHiyElJQVl56RejjJZifIfytE92y32Q5s2\nWL7cKSZCRgYyMzOh1+tRUuIUT6G0FCkpUjyFzp07O47fcccduPrqq6V7KJVQKqUtj3l5ecjqk4Xj\nZ49jSL8hUGeqHb4N7Cvxw+VXICUlxWtZHXYmNLZzwKQBwEFg9SYpjoloEXFs9zEkyZKgzlSjC7o4\nyuvLzl69euHXX39FXl5eSHZo+2ihL9JDUArSdIYb3bp0Q9l5SU9VdxXKD5aje/fo6Dl62mhkPJ+B\n42ePY/To0R53VsSTnvbyHdt9DN2TpTqKNz39sjOC389w2UkQMSWQBR0AegFYDWAdgGHhWigCIAdA\nIYAOALQAdgJ4CUClW7pKL9fz5orVauW9Mnvx3f/dzU+9e4oPGjiIFxQUuKSpqqriZrOZc875m2++\nyWfMmHHx2obFZiaTiQ8ePNhx7ZkzZxzXv/DCC/yWW27hnHN+7tw5brNJC/uOHTvGU1NT+YULFzjn\ngS+a9LVY0KOdHsrqnEflucom7Ty/5zwfmD2Q73p3l7SwMAg7Q8VmtvHqPdLiz+o91S62mw1mnpGa\nwXf/dzc/9+M5PnjQYNLTi52HNh3i53ac4wOzB/KfPv0paDtDxZeevjSxEy09/QW0GJQ+cfZpckSD\nMXYZgMOc89MArgdwN4AkALMYY1rO+bYwNHYKGWOLAWwGUAdgLwCbp6Sh3iue+Pnnn3Hu/fcx9dqp\nmLJwChITEzF79mz07dsXb7zREBNhzhw8//zzWLZsGRhjSElJwW233YaVK1di5syZeOWVV3DFFVdA\nFEXHtStXrsTSpUtRUlICxhiSkpIwY8YMAMC2bdvwxBNPQKlUQhAEvPHGG/jkk08AAIpiBRTlUq/O\nkmzBrQNu9VjulStXNj64G5g5c6bH9Bvnz0d5Tg6mTp2KUaNGQRRFjBs3rpGdP/zwA2bMmIHa2loX\nOwFg6tSpuOKKK2A1WHHzmJuRZkuDaBHxyCOPYOvWrS52rly5Ert374ZOp3Oxs3379t7LD+/l9zu9\nTgdFfj6m3TgNUxZOcdj5448/4l//+hfGjBmDOXPm4PDhw5gxYwYEQUD//v0xceJEFzvtdfTAAw+g\nb9++AIBHHnkE+/btgyAIEATBxc5PPvkEMpkMnTt3drHTHoNE960O1m5WWHa7TuO4l98+2rFy5Upg\ntw97dTrI8vMdf3tVVVUudjLGkJ+fj5ycHBc733pLiuWxevVqTJ06FZdNvwywABNyJuDI3iMYds0w\nFzvT09PxxhtvNLJTEATccMMNDjuD1quBt9e8ffGXXxo+AGamp7vY6fwdc/67ddfTbqdMJvN4LQCP\ndgKev5/e7CSI5kKTDrsYYwKAPgBSAIwH8D2AekiBmm/knL/l4/LgCsXYUwBOAbgPQD7n/CxjLBnA\nVs55Xw/p+YIFCxy/5+fnIz8/P9zFCjsb58/H7xYvxsYHHkO1ZTAmTJzg0ZlSxF6MbukVJxWQn5Hu\nbe1mxa0LmmhoWOHSMJl5u4f8dTpgwgRsfPRRlOfkNCqPp+F9X+Wv2VsDQ6EBAKDJ0aBtbtuo1Y8D\nK6AoU+DyQZdfdGa2YxswYQLEzVvxzvYyyM/LYU2ywpJicUxQ/j97Zx7fVJn9/8+TNk0aSsveQluo\nldJCaaFABUWhOrjNCOK4o6MgyozjMpszMF/HEWZxxNGfy8youABugCOiLKO4kgFZdQClQktZ2tJC\nC6V0TbPe8/vjNpckTdKsTdqed195vdLkyXOf83ySe899lnPC1h4P5e25Zbb+dyssKRZYMrw7GnYt\n1n+4HpYUS4eJ1blz5yp6YssWoP035tQeh+/E7Qtvd7vWQfm+uTq2i/1wbN20P+Dyr62EulqN2LpY\nWAdaYUmzIOVICa5ZutTJzmhFr9dDr9cr/y9ZsgTEAbuYKMKvyKBCiJ8S0TIhRDyAiQCuhbxuQiKi\nL4JqiBCDieiMEGI4gM0ApgB4FPJ0yVIhxEIA/YmowxqN7hoZdOXKlUgpKcGEyb+GrdEGshIsLRYM\nnDGwy6IV+pOIypXOErgp6PUeT9Y+1+GmvD8JukKFPbpp2+E2qAeqoeqjQkKevNgSej1aBk1Cy4EW\nOZ9LjIAqQeVTQrhQtc016mugfdsVerqW7SyqaDjoTM9odzLcwZFBmWjD31/yJ0KIFQBuADAQgImI\nPgvWyWjnfSFEMYD1AH5ORE0AlgK4UghRCuAHAJ4MwXGiCse7fHONGWSmoFb9+4vjLgEAIY1RoBDC\nk7XjrgkAQe+S8BdDqQGSUYJklrPKOuFip+mkSS7bRe1z3TUS6pgTCiHS07V9odj14i/+6MkwTGD4\nteuEiMqFEL8EcAeABMiOQEggomluXqsHMCNUx4g27rrjLjlrqsEGo8UIkSCQONF7MqlwIFnlQE8q\nrUrJ2mq/UAHweJfpb8Ivd3irw/UO3bEt9iyuklGSE2h14U5tbYZWTo1+1oz4kfFK7AhtppwQTMQI\nCJ2A9gItNOmazisMIY5a6rJ1Sv9Gq55O75UZIqtnrRkiRkCySJAsUo/Kf8IwkYSTqkWQcA4d+5PI\ny57oTJOmQeP/GqFJ1kCTplFiQDgmzerKFNr2/iGrHIAKkHOxmKpMMNWakDQxCaYqk9sEbq42hqtf\nPaUmj4SerknrhFYoGVJ7ip6hToYWzNRhtMJTJ0y0wS57FOFPUqjO8HcYmkBoq2gDTACZCI07G0FG\ngmSU75B9wZfIkv5En7SjpBM3trfLRIAJaKtoA/mwESmUQ/LBJu4KFF9sUKlV8t05CG3lbWgra5OD\nUHUDPclAaNzRCAI5pXgPpB/8IZQaMQzjHv5lRZCwzaH7gaHUgLhBcTBVmtD0TRNsbTY072+GkAS0\nGVrlztiXNvpyEfDnQmHvH6F1aIsk0Ly/GbY2G5q+aYKp0oS4QXFdNqfvqY32EOSR1pMsBFOlCaZK\nE2ytNrQdb4taPe1Zg5v3N8NqtMJ40ghTpQlkiczopKOWa3et9bh7hWEY/4iWyKC9Ek9RGv2Z9vB3\nvt3dPLmpyoS45DgYT8khs+OS46AZoYHQCpjKTdBmaDvU7+nYZCU5sZdWuP9MmUEZ2u+sLnvIbHuy\nMG2GFpoRGkgWSU5rHwvEJcfBVGVCbP9Yj/X4s27A37521bAr9XRX3lQtawkAzcXNUCepoR6oRlxq\nnDJd4W4Ltb962ssbygzKVExnNrjqSRZCwtgEmKpMMJQaED8yXtaz2uSxrlBo6amsk5Zu4ogwDBMY\nPKIRhXR2l2gfrq7bVAdrs9WpnP09++I/1yFhdzsT7Bk+44bEQZOikXNPaOUTrzZNCzIS6jbVOQ2P\nu2ujLlsHY5URxkojbK02JZy5nZbiFthabTBWGmGsMjotTnSty9FGMhK0afJwukqrgjZdC02KBnFD\n4iA0QrkIeuo3+wXEXsadHdZmawcb/dEkEnq6q1eboZX7RCMULbXpWpjPmqFN00KbplX6IBg9DaUG\n2JptsLXa0LC7QUlE5k1L+wNWQJumhVALRc+E3ASodCoIjVCcUHd1+aKl1OZ8vFDryTCMf7CjEUFW\nrlwZ0PCs/SRJRuow3+7vCVSlVikZPgdcOQDx2fGISYrBgKsHKGXsc+reLpRN+5pQt6kOxgojYgfF\nAlZ0aJux3AhYgdhBsTBWGFG3qQ5N+5q8Xwhc1hQMuHoAYpJiEJ8djwFXDkBCXoLXhaC+9o09qVYk\nLjyh1DNhbIIcByIvAUPvG4qYpBjEJMWg3yXno0say41e67S12XD6g9Oyk2cleYTEi55xA+PQVtaG\nuk11aD3YCsnqrKejDY51aDO00OXo5Pb9oJ+ipy+LMDvrl85sZBim6+Cpk0jSHkWxpbjF56F+R7QZ\nWphqTH6tCXBXt+OQcVJhUoeyQivfHXuqR7JIMJQY5EWaZsBy1iLfSTtMj9jbaygxwHLCAmEVsDXa\nYCgxQJejU+JiuNqhzdDCXGNWbFSpVRhywxCfbfO1P1RaVQcbfanbcQhem6mF8ZhRKRNuPTvTEoDS\nV07tzNAquyvc1dV6qBVSq+wsmM+aoRmmOf85x/JlBggIeXrluFF2SGLkeDD2IGXubHQNspZY4H5L\nt796OpZ3Z6Mvddv7SV2llqOjMgwTNLy9NYK885d3ICwC1113nV/bIb3NRYd6+58vdbYUt/gUDdNx\nXl9qkUA2gtAIt3exXW1HoOsoQrG9Ndr0PP3Badga5VRDqj4q9Bndx2vbOtMzEjYEq+emTZtAasId\nf3AfFj2a4e2tTLTBjkYEcXU0APgVMjpasM/B2xdsdrZV0N/y0YRr7BMAHh0Nx/e6k55WgxX1n9QD\ncL9w1JWeqmd30swRdjSYaIOnTiKIJcUCdY26w92vN3wZqg+GQO4+7cPfnobAgy0fTNv8qTOQ/nTU\nzR5V1fX1cB3bFwLps1hdrMfpKXf0VD0jtUWZYXoaPKIRQewLQe1ZJX058TregbneQfu6tdLbcez1\nS1bJaa49kneojkP0cSlxUMWqOtjrr512QtGfnbXbU1l/jx2InS3FLbA2W5Ww5L4unA0n3VXP7gKP\naDDRRvf/VXVj5s6d6zF1dahwtzrfl50MkdyF4Yq3XRmuZfy1M1yE6wIWiJ3GcqMcfdNIEdcS6J56\nMgwTODx1EkG8LSw0lBrc3oF5G6oPBZ3twgjXfLwv9Qayy6Yz/O1PV42cdjo4DNU75s2IlJbKMcoM\nSmhvV8Khp/17bd+2bA+0Fe16thS3dNgRwzBM8PDUSQRp2tcEQ7EBppMmaNLl6Ipkky8IsX1j/V6I\n5utws2SRsP719Vi4dCEQC8y/dz4WLlzoVFf9mXrMvX0ujp84jj79+mD5iuUYM2YMWopbcHL3Sfzm\n5d+g9GQpYuJjsPKdlZg8ebLHtvgyV95S3ILWA62QTFKHnQu+JhTzxc7f/vq3TuWaWptwzz334OjR\no4iPj8fy5bKdANDY2Ih7770XxcXFUKlUWL58OXL75CpTESJG3tppOmGCZpgGBIL5pFnefREjoBmu\nCVjLUOopWSSc/Pokfv7Hn6PidAXideft9FfPzpwHu5ZSm4S2I3IuGt1IndPURaj0vGfePXhw1oNO\nZRoaGgLW01Qth7M315qhzdRi8OzB3dLZ4KkTJtpgRyOCnP7gNAzfyydvS5MFiRMSoYpVdZqN1I63\nERGv8/yShFGjRuGLL77AsGHDUFhYiDVr1iAnJ0cp87vf/Q59+/bFY489htLSUjzwwAP4/PPP0VLc\ngvkPzMeUkVMwZ8YcaEZroMpUITHReSGgv3Pl3hyNQHFn5+t/eh1ZQ7OUtixZsQRakxYLf7YQJ3AC\nD/3yIXz++ecA5Kmt6dOnY968ebBarTAYDEiIT1CilUpWCU17m6BOVEOlVqH1WCvi0+Pl8OgaoP+U\n/gFrqVKrOuyIiAY9PTkPgZb1B1c7J+ZNxPI/L8eojFFK/b/9zW8D1tNQboC52gz1QDX2HdwH4zgj\nb29lmBDQ/dz1HoQ2Qw7DLGIFNIPlEY34kfHQZfk2bOttztpbVs09e/YgKysLI0aMgFqtxm233Yb1\n69c7feb777/HFVdcAQDIzs5GeXk5zpw5A+tQK/Yc24M7rrsD8TnxSMxN7HBRsuc0aTvSBrLKDiBZ\nCW1H2uSYC24igeqydYjPkaOS6nLcB3vqzC5X7HamD0uHqdSEG4puwKYvNjmVOfDNAVw2/jJIbRLS\nka7Y2dTUhG3btmHevHkAgNjYWCQmJsp38lk6xI+Md9JNqAUSshPk57ECmmRNyLTszG53en647kOn\n8gcPHgy5noYyg9v26LJlxyI+J14JxhYOPWcVzsKmLaHTU5umBdSAiBWw9vcS7YthGL9gRyOCJIxN\nQP+r+kOXrZOdjhih5IwIBPsJ3jEegLsLV3V1NdLT05X/09LSUF1d7XSxG5M6BuvWrQMgn+ArKytR\nVVWFiqoKDBk2BAs3LETR/CL87IGfoa2tzal+Q6kB6kFqtJ1oQ8P2BsQlx6FhdwMkq4S4FPeZVu1b\nJIfcMASJBYkhSRNut9P+mWEDhuHU6VNOGVbzsvOwcctGAMA3B75R7Dx+/DgGDRqEefPmYcKECViw\nYIFipy5bB8QCIkYoCef6X9UfQ382FLpsHTQXaBB/QXxQWtqPE6ieFd9XOJUfN25cSPS0Jzxr2N0A\n9SC12/bYo5Pat7x6W/cRjJ7DM4ejqqLKyZEJRk+VRoWkwiTosnWwplo5MijDhAh2NBzQl+u79Hhv\nvvMm1n27Dn3G9JHvqi6IV7JI+oLjhcg+3G5POGUsNzrdgTpSfLq407p/Pf/XOHfuHCZMmIB//etf\nKCgoQExMDKxWK/bu3YsHHngAe/fuhU6nw5NPPtnh86YqEzRDNIANMFYYoU3WQsQKqGK75ivnqiVZ\nCeZaM6xNVuiyzycn+8OTf0CDoQHT7p6G5R8t98lOu0bxF8gjFn3G9EFiQSLikuLQZ0wfDJg2QJ4u\nCEJL+3E609PX7+yiRYtCo6cABAS0yVqYqkw+HTsUuNPTUic7Ao7rPEKlp2WEJSJL5bv6HMQwXQE7\nGg50tx+5/ULkLkNrXEocCARTjQnaTC1ailuw6R8tSBkk4W9vncA331Qq5auqqpCamup0sUuekIxX\n/vkKNj+2GX+f/Xecrj2NzMxMpKWlIT09HZMmTQIA3HTTTdi7d69Tu3TZOogYAXOtvDBSMslxOUy1\nJr/v8q0GK05/cBqnPzgNq8Hq9oLsyMaNwODBwHU/34Lj2/vj+MHj0GbKuxtO1p9E2og0pzvnpAFJ\neOuDt7D/4H68+dabOH3adztDiSctAfd6bvpHCwr6t+C6n2/BsWOpqKx01nNE7ginfuqj7YPnHnoO\nmx/bjH/88h9+2anN1MJUa4K51gz1EDUkG+sZaux2/vABPTZujHRrGCa0sKMRISSLBHWVGuoqNbSZ\nWq8n20BQxaqgG6mDLksH4zE5k+VfHpMQf9YAU9wwfPvtEVRUVMBsNmPNmjWYNWuW0x30qW9Oofyl\ncpjPmPH6ytcxcchE6DQ6JCcnIz09HYcPHwYAfPHFF8qqfuXYahXis+KhHS6nKLectUAVq0K/yf38\nusuXLBKqX6lGa3ErzGfMqH6lWtlS6mk4/p57gLo6ILbNgvdeL8DRiqM4/NVhxGbEYuP/NuJHRT9y\nKt/Y2AiLRb4zfvXVVzF9+nQkJCR0aqf9AonY89lrlUy0sQiplkBHPf/ymIS2BgmxbRY89VQhjhxx\n1vP6G65XHBcAOPbuMdRuroX5jBkv/uVFTL5gss96Go8Z0W9yP2iHaxHTJwYqjarH66muUntNyhZq\n7Ha2GYD587vuuAzTFfT6OBr6cr0ykrHkv0uc3ivKKEJRRlFYjmsoNUBY5IXhxmPGkEYtdA2jbCg1\nYNvZbaia8hVaTAIo+hvUhjmYcPEEEBFuvPNGjB49GsuWLYMQAnMumYOSQyVY8OQCwAaMShmFp259\nSokH8cILL+COO+6AxWJBZmYmVqxY0aENKrUK8SPj5ecJKmXXib99BJM8TN5yoAXxafHKXL67KJLb\nzmxDW+EuoE2gsehvqNYQpuYX4rK5lyE+Lh73zb4Po8eMxltb30LMjhgsWLAAhw4dwt133w2VSoXc\n3Fy8/vrrSr0vvPAC7phzB0wtJmSkZeCNNW842ZcwNsGvHRah0vOTrz5B1ZStMJqAxqInodPF4apL\nJ2PCxROgVWnx4P0PdtDz8LHDePCFByEkgVFDR+GFX7/gl572hcqu+UD8oTvpOfPqmYqt4UZfrkfr\nRXrAAKBoCVp1wGK9/F44z0EM01Xw9lYHFusXY3HR4uAb5AMtxS3Y8N4GAMCsm2d53SYIBJfgyX7i\n1m8B7vuTDs0XLcG7+Q9gYr7kNs5D074mGEoMkIzyjgDNEA2SLklCbH/f40GEIo9HS3ELrOesaNzR\nCNNpk3zXq1VBl6NzyqvhGGb7f9+pcO9rg9B80RKsuea3KLo8uOBLnWkQyLZPT3X5imSR8NHLBvzx\nj8DhS/6O1fc+jsmog2T0rGdrcStMJ0wwnzUjcXwi4kfGI6ZvjE9tcHWQAATkMCl6ftWIlrIW9L+s\nP3Q5ug7tjQY9Pb0fLjZulEcyWgsXY83PFmPmzMDr4u2tTLTR60c0IoUuWwdSk/I8nNjv1q4bC5x6\nCPi/f1sw0STBeNQIU6UJ/a/q3+EzAgIx2hgk35qMGF2M3+20H9NOICds+538wB8NhM1gg/Go+3DV\nkkVC49ZGkIUwcYwWZVsMeLpO4Lqi8F8k7G2Mz2kfvVGHdsrEHSq1Ctc9lIDrHgIW6wWmJ7Xg3Kdt\nIAuBrIS+BX07fiZWXuzYf0Z/v/V01RIITs/4nHgkXpoIc5UZ5hozEid13E4baT3tz7uKmTOB06fl\nkYyZRV12WIbpEtjRiBAqtarTYEDuTnohy6EhACIC3Nz3OE17uLmrC8Udri91OF7gWopbzrfJTf0k\nyKM9vuKubzu78Li7CHsiXHoay41QD1LDdFIesXBtpzc9A01e5oq/ekptkjIV0131ZBjGN6LG0RBC\nJAF4DcBYABKAewAcBvAugBEAygHcQkSN4WpDtM2Fujvp+ZIPpbMLxYwJM6A6IF98tBnaDu93djJ2\nbQOATtsUbB3e2qRSq9Dvsn5KhlJdtg5FCUVOZXy5eLrr21BeeALRs7N2F2UUQZukhcFokAOERoG+\nnAAAIABJREFU5XQs463v3B3fl++YK/7o6cvFvjvoGQ6i7RzEMKEgmnadPA/gIyIaDWAcgBIAiwB8\nTkTZAL4E8PtwNiDaf+T2CI2GIwZIVsnpdcfoip0FQSoaUaQECDOWG9F6qPX8joluhH2rZOuhVhAI\nKq1KSRzmqqVrn3iKSClZJRiOGDxGMA0V9uMbypy1dHxPaZ83LTOK5AutVgURIyC1STj9wemo1tNx\nesmuhX3nzukPTsNmsMkxV3zU06mvXGzuKj1DRbSfgxgmEKLC0RBCJAK4jIhWAAARWdtHLq4HYF8a\n/gaA2b7WufnIZuT8Mwej/jEKS79a2uH9BmMDfvzujzHu5XGY8toUHDxzUHlv/vr5SH46Gfkv5Qdh\nlXf8Cb1sx1BqgCZFAwEBc408RL75yGbkvJCD8R+PxzPFzygnbsMRA1pLWnHywEnMenUWxr0k21l8\nshh1m+pgKDHgl1W/RN7hPFxedjnaStqUC1lnjopr7IPOYiG4w9861v93PSZsnoDxH4/HXzb8BQBQ\n/0k9bI02SK0STuw6gfk183Hx5otR+Fwhik8WK/181xt34YIPL8CUz6fITpoHZ0yXrYO5xgwBAU2K\nptNIlXYcL5K+XuDtx9ekaGCuMUMVr8LW2K3yd/aFUXim+BlIbRKM5UZIVgmtJa049tkxzFw200nL\nluIW1H9Sj9+c/Q3GHh6Liz+/GLZGm896uuv3cOvp7jtrKDWgraQNtkYbag7XYM5Xc3DFsStw+aeX\nY/va7Uqf3vPhPRjy5BBctOkitJa0wnDEgLayNrf2BaPnO395B+/85Z2gnJNoPwcxTFcRFY4GgAsA\n1AkhVggh9gohXhFC6AAkE1EtABBRDYAhvlQmkYQHP3oQn9z5Cb7/+fdYXbwaJXUlTmWe2PYEClIK\n8O3PvsUbs9/Awx8/rLw3r2AePrnzk5AZ5w77yd/abEXdpjqfHQ77NkNthhYtJS144MMHsG7KOuye\nthvvn3wfpU2lcjkImE+a8Vztc8jvk4/tl23HG7PfwEMfPgQyEmwGG2aemolXm1/1q93uhqy9BZvy\nhOtn3N3lKsckCY/sfwTrLpLtXHtirZOeZCO8cPYFZNVn4dMhn+KFIS/goQ8fUuq6I+UOrEpZBbIQ\nhJtJf2V0odQAbYZWyWPiS1+0FLegblMdWotbYWu0wfC9wW89dVk6aEdp8dCmh7CucB12F8laHm45\nDG2GFuYaM8wnzXhZehmjLaOdtJTaJJCRcCPdiDdi34BklUC24HZghUJPT9h/mx9e+mGH76yd5+ue\nR44pB5tsm/Bs0rN4tOpR5Tt3W7/bsK5wHUCA+aQ5bHoKo4CwCJ+dE092RvM5iGG6imhxNGIBTADw\nLyKaAKAV8rSJ6xnTpzPonuo9yBqYhRH9RkAdo8ZtY2/D+pL1TmUOnjmIKy5oTzI1KBvlDeU403oG\nAHDp8EvRX9txJ0Y4MJYb5UygPuR6cM198fWpr5Gpy8Rw3XBo+mhw44gb8Zn1M6jU54ecS5tKcVHr\nRTCUGZCVlIVKQyVahrXAWmfF1P5TMSxnGMhGcgKs9gu9NlMLY5VRzrqa6Rz/wp/cFP7iqe491XuQ\nNSQLQ84Oge2kDbeNk/UccPUAxCTFwNJswYnkE5iqmgprnRVjR41FpaEStQ21MJQZMO7MOMTXyosh\n7WtSPOURAeDz3bzSXqME80kzAMBUbYJk7Lx/XO/4t+7cikxdJtJUaVCr1LhxxI34qP4jOYBalg6a\nYRqUtpTiooaL0HqwFak1qahorUCdqQ7aDC0KWgswOHkwYrRyf9j1tE9LGKuMbqN4hktPr1oOzMKo\nvFGwnbRhVp9Z+NT0qVNSvTJbGa7MvRKCBEY0jkAVVeGM6Qwki4Rxp8dBfC0gmSVohsmJ6+Kz4p36\n0vHYgP96kpEQWxfc8rXudA5imHATLYtBqwCcIKJv2v9/H7KjUSuESCaiWiFECoDTnipYvHix8lzk\nCqQnOiSZSkzDnuo9TuXHJY/DukPrMHX4VOyp3oPKxkpUNVVhcJ/BITPKG7psHVYvXY3Y2lhcM+ca\nnz7jugvjpPEkUrWpyusXShdiT/Ue6C7WoW5THeKGxSGnPAcbTm/AtLHTsHXnVpxoO4GamBpkjcqC\nJkWDZkszYppjnOJSGI+dT+vuKZhYV1LdVI2hNFRp05AzQ/Cd8TvE6mIx5IYhaCluQd7+PGzpuwWX\nJV2GfZZ9ONF2AkeKjyA3JRcN2xoAAEItYKoxYdCkQR360r5OIpDFgvb1LkItoO2jhSZN0+lnXI9z\nyngKqdpU5b0Ls2Qt7U5R68FW5MTmYLO0GVNNU/H1qa9R1VaFUziFIX2HoP/0/mhubobqnAoDZwx0\nsg1WQJum9SuKZ7iobqpGemK68h0bIUZgb/VeJaleYkEixq8Zj/+c+w+mTJuCXcd2oepoFeqH1GNw\n6WBIJglklu83hEY45flxR6B60g4CqSngLa52O+2E8xyk1+uh1+sDaifDdAVR4Wi0OxInhBCjiOgw\ngB8A+L79MRfAUgB3A1jvqQ5HR+P9g++j+mi112MuunQRfrH5F5iwbALykvNQMLQAMaqYoG3xFZVa\nBUuaBZYUC2L6+h7XQFlfYJGAGDmDqLtdGLosHaQ2Cb9W/Rp/OP0HTN81Hbn9clEwtAB9s/pi0ORB\nMJQaoGpVQaXxPYS0/e7YnrU0lOiydWgpboGxXK5fskg+XRh12Tr8xvIb/O7b3+Ga2muQJ9r1FDFQ\nxaqgTddCa9FCVadym7ZduQtut6+luMWnbZ32z6mgQuINiW63hnrDsax6iBqi5vyFE4fOl1OpVegz\npg/+L/3/8MiuR3BV9VXIM+VhXL9x6JvVFwnJCXJf7VUBwvf4D+HUM1AtAeAP1/0BD659EEV7ipCf\nno+CYQVQx6kByFNNmmEaqM7IfeLOiQhWTwBoG9cmh5IPo2MWqnNQUVERioqKlP+XLFniuTDDRICo\ncDTaeRjAO0IINYBjAOYBiAHwbyHEPQAqANziS0WpiamobHRIMtVUhdS+qU5l+mr6Yvn1y5X/L3j+\nAmT2zwzWBv+J7Rj8yNvWPccte6kJqTh17hQA+c71aNlRDBs8TPmcodSAwWMGY9mYZcqd8YUvXojM\n/pnKnV6fhj6AS24pT9sPDaWGsN4d2+vUpmkB6/ktiamJqTipOqlMc5zpcwapMalOnxtaMBRvFbyl\nvHbB8xdgzPgxUB2XI4lqDVrgLJTpBNf+dQw/LVk9h8V2/Iy7u2V3r3nS01HLQYZBOBVzCgljZafh\naNlRDMIg5QKty9YBpcCyomXKcfI+z1O+syq1Cn2y+0C111mXzra2hktPb1pWNlYq7TppO4kRw0c4\nfTYpIQlvzXXWMrN/JnQDZO1Uh1VQNZ2fCgmLnt8gKLrVOYhhwky0rNEAEX1LRIVENJ6IfkxEjURU\nT0QziCibiK4iogZf6iocVogj9UdQ0VABs82MNcVrMCt7llOZRmMjLLb25Ev/exXTR0xHQtz5ExG1\n/0UCb/PmkkUOd912pA0FfQtwpP4ISvaWwNhqxPsV72NG7AwA5y94NJoQnx+PhLEJeP27132yM5DF\ngOGkcFghjp47irNpZxE3Og7vHnrXJz0T+yQiYWwCEgsSkZCbAKEVUKlVHvvXsW9dF3IGs5bB22fJ\nSmg70obRZ0cr39mGQw14v+J9XDvgWqW8Sq2CbaQN8fnxSCxIxGrTakzP6J5aHqk/ghOtJxA3Og4f\nnPkA14++3qmMp9+mfXpl4NUDIeJFB4fNsX/tW8HbjrSBrB1/x53pOXfuXMydOzdoO7vrOYhhQkk0\njWiEjBhVDP75w3/iqrevgkQS5hfMx+jBo7HsGznJ1IKJC3Co7hDu/vBuqIQKuYNz8fqs88mX5rw/\nB/pyPc62ncXwZ4djSdESzCuYF0GLnLGffGKEbOf166+HJEn4SfpPkJOYEzY7Ax2S9gWnKaFY51gL\nodbz91m/xx3J7qOyduWJXZctr6UhEOKHxuPviX/HVW9fBZvRhjvT7kR2QjaWH1sOrUkblu9sMNMb\nneFpWiYcv82b1Td3OL6h1IC4lDgYy43KupyupKefgxjGHzipWgRZuXIlAHS4c/I2deIu6VPIwpJ3\ncmxvbQgWX+oMlZ2e6vHWhmCOHSk9I6Wlr/WG087Ojh/K30y0wUnVmGiDHY1uRrhPkL5cICLlaIQ7\ns2YkLj7hPGYk+zTSevZkR6Iz2NFgoo0eOXXS3fF2knRdbOhLUiwgsLTenugsV0U01OlLH3haROhL\nfaEa0fBXT22mFsZjxoDa4Y5waBmOejvT0/X/cGnJMIz/8IhGBAlkCN/1s4YyeS5aFatSyrp+HoDP\nd46hOAmHKiNoMG3zpQ8cdyWYa8zQZen8nmJwWluC82tLOpse8WSXZJEAK9y2E4C85qE9nkiktAx3\n3e7oTE/H/x23pbqrN1xTZNECj2gw0Ub3+xX1IOwr3+//v/uRkpKC/HzPeQ0efvhhZGVlYfz48di/\nf7/y2cb6Rvzklz9B4S2FKJxdiN27dyufWfbuMkycNRGTb5iMx//5OADAarVi7ty5yM/PR25uLp58\n8kmn44Ril4K7Ff2GUgPu/7/7kTk9E/m5vttpp7GxEbfOuRWFNxdi8q2T8fXer5X3/vGPf2D06NHI\ny8vDokWLFDvvX3I/LplzCQpnF+KZ157xeEx/orN6stVQIufqCEbLc2fO4c4H7kThLe02fnfexmXv\nLkPhLYWY/svpEdcSAObeOheZ0zMx5YYpHvvMm5Y333wzcvNzMfnWyfi+9XulfZ60/OmjP8Ulcy7B\n5Fsne9USkPUMdofQhvc2YPXS1Zg/fz6Sk5P90tPVztGjRyM3N9fpt+nJTm96Mky3hYi6/UM2o/vR\nfKCZGvc00uZXNtP297ZTXl4eERHZzDZqPtBMzQeayWa20UcffUQ//OEPyWa20ZfvfEmT8idR495G\natzTSLf/8HZ67oHnqPlAM5kMJmpsbJQ/s/wjuuLiK8hkMJHNbKPjW49T84FmevvNt+n2228nIiKD\nwUAZGRlUUVERFrsa9zRS84Fm5bXNr2ymbW9vo9ysXLefs9tJRLRr1y6aPHmy8t7dd99Ny5cvJyIi\ni8VCjY2NRES0ZcsWuvLKK8lisRAR0ZkzZ4iI6O0336abr72Zmg80U0tjC2VkZNDBTw8qferYz7Xr\naqlhR4Pc5r2NTn1vx1UTV1tPrTpFNatqOmjp+tlNGzYpNu74agdNyp+kHH/Oj+bQvx7/FzUfaKZz\n+87RubpzRET0xWdf0BUXX0Hn9p0jS6sl4loSEX3yxieyliNznV63E0otV61aRbfdehs1H2im01+f\npoyMDDp+5LiTHo59bP9tNOxooNp1tT5r6WjvO398h97+89u0bds22rdvn5Oe4bQzFHq2nw8jfl7m\nBz/sD16jEUHs89hTL56K2thaSMbzW0Ydh3PXr1+Pu+66C4ZSAyZmTURTUxNOnz0NXYIOu77bhbc/\nfFu5I4yLjwMArNy8Eo/+5VHl/4zLMgAAMcUxaG1thc1mg8FggEajQWJiIkKJu/l5XbYOUzEVlScr\nPUYitdsJAJMnT0ZjYyNqa2sRHx+Pbdu2Kbt0YmNjlTa/9NJLWLRoEWJj5a/yoEHyNsYYdQxMahPi\nR8ejoaEBGo0GQwuHIqHf+X613/E7tleynM+R4RjkyXHO3761Fzi/ZkKXI9s5VT0VZ7RnAIJSxlHP\njf/cqNiYl5SHpqYmNMQ1IOZYDHZ+uxNvffBWh9GHZa8uw6N/eRT9xvcDEHktAWDG7TNQsqXEYyTS\nUGophIChzYD40fEwNZig0WjQb2A/Jy0BdJjOsk8r2kc23GnpWB44ryepCZYUCy699FJUVFR47J9Q\n2xluPRkmEvDUSQR58503sfabtUgYmwBTpQkguB3ura6uRnr6+bwJQwcPRU19DWpjazGw/0DcdfNd\nmFAwAQsWLEBbWxsA4PDhw9i6dSumTJmCyy+/HN98I4c6vOmmm6DT6TB06FBkZGTgkUceQb9+/UJq\nl7sheyUSaXYfuEm46dbO1NRUVFdX4/jx4xg0aBDmzZuHCRNCa2cgc/KO0wn2XDD2PB12myWT5Hb4\n3pOWNbE13UZL++t9svtApXUfUTQSWgIuTkOGFqrYwPS0pFl8WiofKTsZpjvBjkY3wp5VVTJJiEuN\nQ8vRFuw/uB/33nAvtr61FTqdTpnXtVqtOHfuHHbt2oWnnnoKt9wiR2/fvXs3YmNjUVNTg2PHjuHp\np59GeXl5BK3qHKvVir179+KBBx7A3r17Q2qn6xoEb5lrQ402UwvJJMFca4bVZGUtQ2Cno55kpS7T\n0pVw28kw3Ql2NKKE+Mx4+U4/9vzQvH0nQ2pqKk6cOKFkvKxprMEgyyCkJqciNTkVE8ZMACDfEe3d\nKycuSUtLw49//GMAQGFhIWJiYnD27FmsXr0aV824CoaDBsTXxuOSiy9R7qg8YW+PY5vCgd1O+zEr\nj1aiX1M/DEsehvT0dEyaNMmjnZJFwuj40VDZVDhTcwarV6/GNddcA5VKhcGDB2Pq1Kmd2gmcz1yr\nTTu/jdSOky6x8Jp6XKVpT0HvoqejjcZjRtQ01iBjbAYG2gZ2iZaOdoRTz2C0BICJ4ydCZVOh4qsK\nrHpnVUBamqpMnWrZUtwCbabW51Ty3uwEgKqqKqSmpiItLc0nO131DMROhol22NGIMCklJQDkrJRC\n056/weo8hTJr1iy8+eabAICvD3yNpL5JGDJoCDKmZiBtaBqO1h6FLluHL774AmPGjAEAzJ49G19+\n+SUAeajWbDZj4MCBGD58OD5b/xmkNgnN9c3YuXUnhscM93rRCSbPBwDAIYW1fXGQOxzt1P9bj6SE\nJAzqMwh9G/oiPT0dhw8fBgDFTski4drCa7F5zWa0FLfgcIlsZ3xdPIYPH67Y39rail27diEnJ6fD\nMXXZOp8vMkoSNOv5KQWnaYN2O4kIBDr/voOejjbu+XaPrOXAIRg+fnjwWm7biVEXjurUiQiVnqHU\nEgBmzZylaLn/P/thNpvRX9MfKdoUn7QEnPXUZngexXA3XeKo59y5czE3I8MvO3ft2oV+/fohOTkZ\nycnJHu30pqevdjJMtyLSq1FD8UA33XXy8cKFRADdfsUVNHToUIqLi6O0lDT612P/omcXPUvP//F5\npewDDzxAF154IY0dNZa2vbtNWS2/f/9+mjRpEo0bN45uuOEGamhoICIis9lMd955J40dO5YmTpxI\ner2eiIhaWlrohqtuoNGZo2l05mhaMneJ210FjthX4ntaxe+VLVuIAKItW+j2229X7ExPT6fly5fT\nyy+/TMuWLVOK//z+n1NmeiaNGTGG9Cv0Srvc2dl8oJnqdtTRrdfeSjnDc2h8znj6z8v/kXeatLTQ\nzTffTLm5uZSbm0vPPPOMT831ZUeC275qt9NRy/T0dHrxTy/Ss4ueped+/5zyGbuW+Xn5tO3dbcqx\ngtXyiUee8N5GFzuC0dPVTnda2u0cM2IMffrXT6lhR4NHLYmI6vfW063X3kpjLhxD4y4cR/95+T/U\nuKeRanbXdK2WAdqZn59P//vf/5TXA9EzEDtdAe864UeUPThgVwRZuXIlUkpKcI3DfvmuCBjUWYAo\nT+XdBQfzqd16PVBU5FPZQINodRakKRR0qo2LnT59JsRtckw9Hy16WputMJYbodKqMOi6QR77oCv1\n9EkXN3p2BzhgFxNtsKPRjQjHRSuY6IyOFyZ/8laEqp5I90c0Hov1DF993QV2NJhoo3f88noIQc+t\nu8Gf6JH+rGcIFH+OEYrIl66Eo4+78lis53m6UkuGYTzDIxrdCNe7Q9dgSpG8Y/Pn7jGa7jQDmXoI\nFV099eMPPUFPX6YFeyI8osFEG+xoRAG+nqgjeVH0RiAXmmi5OAXqvIUi2Vi0XhR7ip7+OG+u7X/z\nHXknydy5c8Pa3nDAjgYTbXAI8ijA0WFwDJXsirfU16EikJTkvrY/kM+EM0W6O3ztY0/t96cvHI/V\nUtwCyRramBadpVbvaj0DbU+g+PN7cW0/wzChg9dodEP8CRzlL47z2vWf1Hud47a3w1BmUC6S3oJB\nuXtPskowlBk8xn3wpz2BYF9D4C5QWlchWSRIFgnGKiMQ6z53SCC4rlHwtmbBk26h1NOf9gRKNOjJ\nMIwz7GhEkJUrV2LlypV+L8rrNHBUF2FvhyZFA3ONWT7BAx4vHo4XFkB2kMw1ZmhSNBFbsOfUfy6B\n0rzhSbNAFlgaSg2AFdCmaaFSu88dEm7cacN6MgwTCnjqJAoIZkrEMZNoKIaftZla1H9SDwDod0U/\nmE+Ylbo9IWIFdFlyhlJfpwCcsqG2eS7vuGai3xX90PBlAwBgwNUDfDPICx3WSPiBJ82Cnd4KpZ66\nbB1ailtgLDdCm6GFLlvnNPXkiUCmdHzR01FLbaYWhlKDnIekvW3BEg49GYYJHh7RiAL8zT2hy9YB\nsYCxyoi2sjZYm60hu4N0zPVhPmH2ut3Q3V2gtztDf8sDzlsezSfMHnNXBIL9jtzabEVbWZtfUxeB\nTDV4Ilx62kdHtGlawAq3obYd2+DvCI2/ejpqaTxmDPkoTjj0ZBgmeHhEIwrwd/Gd4wWk7UgbjOVG\n6EZ2/XCvu7tAb3eG/pbvKozlRggIaC/w/aIXisWgdqJBz0BGaHqynt1xtwnDRCtRMaIhhNAIIXYL\nIfYJIQ4IIR5vf72/EOJTIUSpEOITIURSpNsabWgztFBpQze3HM1z1aFum1Kf1nsCrq6kt+gZjnZF\no54Mw0RRHA0hhI6IDEKIGADbATwM4EYAZ4noKSHEQgD9iWiRm892yzgaK1euBADcdcddfsduCHSr\nZ7TEOwgHgdoWSL+GOo4G69mRYPW0T4Go1KpuFXQsWDiOBhNtRI2jYUcIoQOwFcD9AN4CMJ2IaoUQ\nKQD0RNQhb3J3dTR8IdRBnfzJPdHdCIVt4Y7WyXr6TrC2RXMk3XDCjgYTbUTNL00IoRJC7ANQA+Az\nIvoaQDIR1QIAEdUAGBLJNkYCxy2ExvLgF0AGQ1csmIumRXnGcmPI4zz0Jj2jSUuAc58wTKSIGkeD\niCQiKgCQBuAiIUQuANdhip45bOEj2gxt0PPawcyNd8WJOphjhGLe37GOcM/z93Q9g60/WD2jdX0K\nw/Q2om7XCRE1CSH0AK4BUCuESHaYOjnt6XOLFy9WnhcVFaGoqCjMLe0a3A33hmItQk8cOrbPxduj\nTgbbN+5CZgcL6xl+PPWLa997w75+qjvsPtHr9dDr9ZFuBsN4hogi/gAwCEBS+/N4yGs0fghgKYCF\n7a8vBPCkh89Tb6L5QDM17mmkxj2N1HygOaDPrXtpHWVnZ1NWVhY9+eSTHcrq9XpKSkqigoICKigo\noD//+c9kM9uo+UAzNR9oJovRQgUFBTRz5sxQmuZ0DJvZ5vfnXfvm448/9snOcaPHUX52Pv3hp39w\n6lObzRYWO721OZDPRaOeodaSiHzTs28S5WfnU352Pj324GPObfJRzxUrVtCKFSv8bnM00H4+jPh5\nnR/8sD+iZURjKIA3hBAqyNM57xLRR0KIXQD+LYS4B0AFgFsi2cjujGSRc1BIRglxw+PwyBOP4Mtt\nX2LYsGEoLCzE9ddfj1EXjjq/UNEqYdq0adiwYYNTPfYFec8++yzGjBmDpqamkLazszgMvtzFS9b2\n9Q9xwIMLH8QXX3zhZGdOjvN64mnTpmHVE6vcRrR8/vnnw2JnMNj7wFBmQFxKHKBCVOrpS0wNn/Us\nM0KSJDz4YOd6XjLxEqx5ao3chnjn+qJRT4bp6UTFWCsRHSCiCUQ0nojyieiv7a/XE9EMIsomoquI\nqCHSbQ0l9lwn/hJoPg1NigZkI/z3vf8iMz0T6cPSoVarcdttt2H9+vVOc+qmShOI3C+Jqaqqwkcf\nfYR7773X77YHS2eJwSSLhMbdjSAbobi+GJkpmRgxYoSTna4Qkds+7So7A811ox6kRuPuRuzYsgNZ\nOVkd7OzuemoztTBWGdG4uxHqQWp8/c3XPump0qnc9mck7WSY3kxUOBqMfziGcvZnXl7ECogYgXpR\nj9QhqcqJPS0tDdXV1R3K79y5E+PHj8ePfvQjHDx4UHn9V7/6Ff7+979DiOjaQackJ0vWQsQInKo/\nhdSUVOV9b3ZOKJyAWxfeikpVpdKnXWVnoHqaqkzQJmtxVpzF0MShyus9RU8lHH6yFqYqE06eOemT\nnrt278Kld16KWxfeipKyEuX1aLWTYXo67Gg4oC/XR7oJYcMxauKR+CPey8SrcMnsS1BZWYn9+/fj\nwQcfxOzZswEAmzZtQnJyMsaPH6/MvwH+bWUMZtujL3f/2gwtdlp3QhWnQmw/77ODEydO9MvOaMBR\ny68Tv+68nJ96+qsP6xk6evI5iOm9sKPhQHf4kQd6UlepVdhyPAGT5vfDe58fw4GvjyMuPQ6APKSc\nmpqq7NoAAFW1Clq1vL3z2muvhdVqRX19PXbs2IENGzYgMzMTt99+O7Zs2YK77rrLr62MgW577Gw+\nPy49Dl8tO4cHftCAuav24qT1QpyoOqG8b7fTkYSEBOh0ss1Xz7gaFoMFldsrsX3bdrd2hpJgtSy4\ndwB+9bweZ7Yn4ET1CaWOYPW888Y7/dInHHpKFgk2gw1fLTuHOVcacdfqfV2q59y5c7t0x8nGjcDg\nwcAPH9Bj48YuOyzDdAnsaHQzgolNcM89QPq5Bki6YSg9WYkDaw7AbDZjzZo1mDVrllP9NVU1Sv17\n9uyBJEkYMGAAnnjiCVRWVuLYsWNYs2YNrrjiCrz55pvKMchKMJQZ3F487RdWQ5kBZPX/jrIz2xu+\nbMDra+Jwui0OiUYjnnqqEEeOHEFFRUUHO+3U1tYqz7eu3QpJktAvrh8e/cmjXu0MBcFqGVdvhMUC\nfPVFIY4eP4qSLSUh0fOVJ15RjhPKLLX+2G8oNcB41IjX18TB0EqIabNGvZ7BcM89QF26atM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T2N3mIn07tgR8OB3vIj7w129gYbAbazp9Fb7GR6F+xoMAzDMAwTNmIj3YBIoy/XK3cRS/67xOm9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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a73b650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(6,6))\n",
    "ax1=fig.add_subplot(111)\n",
    "\n",
    "dx=90.;dy=45.; tiny=1e-9\n",
    "#dx=15;dy=15; tiny=1e-9\n",
    "x=np.arange(-180.,180.+tiny,dx)\n",
    "y=np.arange(0.,180.+tiny,dy)\n",
    "\n",
    "## boundary of a polar pole:\n",
    "ax1.plot([-180,-180,180,180,-180],[0,90,90,0,0],'--',color='gray',label='pole boundary')\n",
    "nx, ny = int(360./dx), int(180./dy)\n",
    "f=np.zeros((nx,ny))\n",
    "print 'f.shape:',f.shape\n",
    "\n",
    "x_node = np.arange(-180.,180.+tiny,dx)\n",
    "y_node = np.arange(0.,90.+tiny,dy)\n",
    "nx_node=len(x_node)\n",
    "ny_node=len(y_node)\n",
    "nodes=np.zeros((nx_node,ny_node))\n",
    "print 'nodes.shape:', nodes.shape\n",
    "\n",
    "X, Y = meshgrid(x, y)\n",
    "for i in xrange(len(x)):\n",
    "    for j in xrange(len(y)):\n",
    "        if i+j==0:\n",
    "            lab1='node[i,j]'; lab2='f[i,j]'\n",
    "        else:\n",
    "            lab1=None; lab2=None\n",
    "        ax1.plot(x[i],y[j],'r+',ms=2,label=lab1)\n",
    "        ax1.plot(x[i]+dx/2.,y[j]+dy/2.,'o',\n",
    "                 mfc='b',mec='None',\n",
    "                 alpha=1.0,ms=4,label=lab2)\n",
    "\n",
    "print 'ylim:', y[-1]\n",
    "phs,ths,wgts=[],[],[]\n",
    "for i in xrange(len(poles_sa)):\n",
    "    X,Y = upf.projection(pole=poles_sa[i])\n",
    "    theta,phi = upf.cart2sph(poles_sa[i])\n",
    "    x_,y_=theta*180/np.pi,phi*180/np.pi\n",
    "    ax1.plot(x_,y_,'m.',ms=6,alpha=0.2)\n",
    "\n",
    "    if  X**2+Y**2>=1. or True:\n",
    "        #ax.plot(X,Y,'k.')\n",
    "        wgts.append(poles_wgt[i]) ## weights\n",
    "        phs.append(phi)\n",
    "        ths.append(theta)        \n",
    "\n",
    "        ## Determine ix and iy to be assigned\n",
    "        ix = int((x_+180)/dx-1e-9)\n",
    "        iy = int( y_/dy-1e-9)\n",
    "        f[ix,iy]=f[ix,iy]+poles_wgt[i]\n",
    "\n",
    "for i in xrange(nx):\n",
    "    for j in xrange(ny):\n",
    "        ax1.text(x[i]+dx/2.,y[j]+dy/2.,'%3.2f'%f[i,j])\n",
    "## assign to f.\n",
    "\n",
    "fsum=f[:,:int(ny/2)].flatten().sum()\n",
    "\n",
    "## Normalization\n",
    "#inorm=False\n",
    "inorm=True\n",
    "if inorm:\n",
    "    print 'nx,ny:', nx,ny\n",
    "    z=np.zeros((ny+1))\n",
    "    dz = (pi)/float(ny)\n",
    "    for i in xrange(ny+1):\n",
    "        z[i]=dz*i\n",
    "    dx_=2.*pi/nx\n",
    "    for ix in xrange(nx):\n",
    "        for iy in xrange(ny):\n",
    "            fnorm = (np.cos(z[iy])-np.cos(z[iy+1]))*dx_ / (2.*np.pi)\n",
    "            f[ix,iy]=f[ix,iy]/fnorm/fsum\n",
    "##\n",
    "\n",
    "\n",
    "## Extention of f_bounds\n",
    "f_bounds=np.zeros((nx+2,ny+2))\n",
    "f_bounds[1:-1,1:-1]=f[:,:]\n",
    "f_bounds[-1,1:-1]=f[0,:]\n",
    "f_bounds[0,1:-1]=f[-1,:]\n",
    "f_bounds[1:-1,0]=f[:,-1]\n",
    "f_bounds[0,0]=f_bounds[0,-2]\n",
    "f_bounds[-1,0]=f_bounds[-1,-2]\n",
    "f_bounds[:,-1]=f_bounds[:,1]\n",
    "\n",
    "for i in xrange(nx+2):\n",
    "    for j in xrange(ny+2):\n",
    "        ax1.plot(dx*(i-1)+dx/2.-180.,dy*(j-1)+dy/2.,'g+')\n",
    "        if f_bounds[i,j]!=0:\n",
    "            ax1.text(dx*(i-1)-180+dx/4.,dy*(j-1)+dy/4.,'%3.2f'%f_bounds[i,j],color='green')\n",
    "\n",
    "## Average by neighbours\n",
    "for i in xrange(len(nodes)):\n",
    "    for j in xrange(len(nodes[i])):\n",
    "        nodes[i][j] = (f_bounds[i][j]+f_bounds[i+1][j]+f_bounds[i][j+1]+f_bounds[i+1][j+1])/4.\n",
    "        ax1.text(x[i],y[j],'%.4f'%nodes[i][j])\n",
    "\n",
    "## Deco\n",
    "dw=dx*0.8\n",
    "ax1.set_xlim(-180-dw,180.+dw)\n",
    "ax1.set_xticks(np.arange(-180,180.001,90)); ax1.set_yticks(np.arange(0,180.001,30))\n",
    "ax1.set_ylim(0-dw,180+dw)\n",
    "ax1.set_xlabel(r'$\\theta$'); ax1.set_ylabel(r'$\\phi$')\n",
    "ax1.legend(bbox_to_anchor=(1.5,1))\n",
    "# print f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "f.shape: (24, 12)\n",
      "nodes.shape: (25, 7)\n",
      "ylim: 180.0\n",
      "nx,ny: 24 12\n"
     ]
    }
   ],
   "source": [
    "#dx=90.;dy=45.; tiny=1e-9\n",
    "dx=15;dy=15; tiny=1e-9\n",
    "x=np.arange(-180.,180.+tiny,dx)\n",
    "y=np.arange(0.,180.+tiny,dy)\n",
    "\n",
    "## boundary of a polar pole:\n",
    "nx, ny = int(360./dx), int(180./dy)\n",
    "f=np.zeros((nx,ny))\n",
    "print 'f.shape:',f.shape\n",
    "\n",
    "x_node = np.arange(-180.,180.+tiny,dx)\n",
    "y_node = np.arange(0.,90.+tiny,dy)\n",
    "nx_node=len(x_node)\n",
    "ny_node=len(y_node)\n",
    "nodes=np.zeros((nx_node,ny_node))\n",
    "print 'nodes.shape:', nodes.shape\n",
    "\n",
    "X, Y = meshgrid(x, y)\n",
    "for i in xrange(len(x)):\n",
    "    for j in xrange(len(y)):\n",
    "        if i+j==0:\n",
    "            lab1='node[i,j]'; lab2='f[i,j]'\n",
    "        else:\n",
    "            lab1=None; lab2=None\n",
    "\n",
    "print 'ylim:', y[-1]\n",
    "phs,ths,wgts=[],[],[]\n",
    "for i in xrange(len(poles_sa)):\n",
    "    X,Y = upf.projection(pole=poles_sa[i])\n",
    "    theta,phi = upf.cart2sph(poles_sa[i])\n",
    "    x_,y_=theta*180/np.pi,phi*180/np.pi\n",
    "    if  X**2+Y**2>=1. or True:\n",
    "        #ax.plot(X,Y,'k.')\n",
    "        wgts.append(poles_wgt[i]) ## weights\n",
    "        phs.append(phi)\n",
    "        ths.append(theta)        \n",
    "\n",
    "        ## Determine ix and iy to be assigned\n",
    "        ix = int((x_+180)/dx-1e-9)\n",
    "        iy = int( y_/dy-1e-9)\n",
    "        f[ix,iy]=f[ix,iy]+poles_wgt[i]\n",
    "\n",
    "## assign to f.\n",
    "\n",
    "fsum=f[:,:int(ny/2)].flatten().sum()\n",
    "\n",
    "## Normalization\n",
    "#inorm=False\n",
    "inorm=True\n",
    "if inorm:\n",
    "    print 'nx,ny:', nx,ny\n",
    "    z=np.zeros((ny+1))\n",
    "    dz = (pi)/float(ny)\n",
    "    for i in xrange(ny+1):\n",
    "        z[i]=dz*i\n",
    "    dx_=2.*pi/nx\n",
    "    for ix in xrange(nx):\n",
    "        for iy in xrange(ny):\n",
    "            fnorm = (np.cos(z[iy])-np.cos(z[iy+1]))*dx_ / (2.*np.pi)\n",
    "            f[ix,iy]=f[ix,iy]/fnorm/fsum\n",
    "##\n",
    "\n",
    "\n",
    "## Extention of f_bounds\n",
    "f_bounds=np.zeros((nx+2,ny+2))\n",
    "f_bounds[1:-1,1:-1]=f[:,:]\n",
    "f_bounds[-1,1:-1]=f[0,:]\n",
    "f_bounds[0,1:-1]=f[-1,:]\n",
    "f_bounds[1:-1,0]=f[:,-1]\n",
    "f_bounds[0,0]=f_bounds[0,-2]\n",
    "f_bounds[-1,0]=f_bounds[-1,-2]\n",
    "f_bounds[:,-1]=f_bounds[:,1]\n",
    "\n",
    "## Average by neighbours\n",
    "for i in xrange(len(nodes)):\n",
    "    for j in xrange(len(nodes[i])):\n",
    "        nodes[i][j] = (f_bounds[i][j]+f_bounds[i+1][j]+f_bounds[i][j+1]+f_bounds[i+1][j+1])/4.\n",
    "\n",
    "## Deco\n",
    "dw=dx*0.8"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contour in Cartesian coordinate of ($\\phi$,$\\theta$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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VtxxufXcTBEe1hNAcIGpXSwBnZy5DOTWV1rji1ldtL+u2S0mBoZya5NRQTmuo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\n+H+6THuklegCIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a727ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(12,4))\n",
    "ax1=fig.add_subplot(131);\n",
    "ax2=fig.add_subplot(132)\n",
    "ax3=fig.add_subplot(133)\n",
    "\n",
    "XN,YN=meshgrid(x_node,y_node)\n",
    "\n",
    "#print nodes.shape\n",
    "cnt=ax1.contourf(XN,YN,nodes.T)\n",
    "#colorbar()\n",
    "\n",
    "new=nodes.copy()\n",
    "n = 3\n",
    "for i in xrange(n):\n",
    "    new[:,i]=new[:,i].sum()/len(new[:,i])\n",
    "cnt=ax2.contour(XN,YN,new.T)\n",
    "cnt=ax3.contourf(XN,YN,new.T,cmap='gray_r')\n",
    "#ax2.imshow(new.T,interpolation='cubic')\n",
    "#colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x10a71af90>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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X9C3MjUXmiHLeXxkQ1scX90tKdYhaL20O9QPqTOw0bd0BvcIo2kMfKpg62Jk+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\nSCssUbKwsEgrLFGysLBIK/4/Am1PUjBSx/8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a71a110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure()\n",
    "ax=fig.add_subplot(111,projection='polar')\n",
    "ax.contourf(XN*np.pi/180.+np.pi/2.,YN*np.pi/180.,new.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example (AZ31 alloy texture)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "phi1: 0 ~ 360\n",
      "phi:  0 ~ 180\n",
      "phi2: 0 ~ 360\n",
      "Elapsed time for calling cells_pf:           7 [sec]\n",
      "pf_new time: 17.1057369709\n"
     ]
    },
    {
     "data": {
      "image/png": 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Lr2v4Q1H3FIhWVNyzCFSzchhKI7H4mkrN3KvgeBLz49zkRzAJRkCYhZn+HnfO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\nPUEC12XO1tMBLZ/YgfnW3PZoa+J0GPC6qq6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eFBjhRui5JJmzKkpl9MEax2pKjvf9p/0s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w/8P0yZmIA3Aj9TzwQK9SKcgkXyqqS2ySKsktZpgna+WcVd+35Yi4ojcDfP+zQXdi+H7DEj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\nufG2Aqc5n0+12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cDHReR4oA9Tqfl3bgMReSmwXQ8nvqwqqrpXRJb29fUt27BhA5MmTYps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\nSUlJzfH/AV2iQZhTGroEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b86b510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from TX import upf, cmb\n",
    "import time\n",
    "reload(upf)\n",
    "\n",
    "from MP.lib import whichcomp\n",
    "\n",
    "if whichcomp.clues()=='Darwin': ## My MBA Darwin\n",
    "    filename='/Users/yj/repo/vpsc/vpsc-dev-fld/examples/ex15_FLD/magnesium/az31/LS_AZ31_1.3mm.tex'\n",
    "elif whichcomp.clues()=='Linux': ## My CTCMS Linux\n",
    "    filename='/users/ynj/repo/vpsc-fld/examples/ex15_FLD/magnesium/ze10/LS_ZE10_1.3mm.tex'\n",
    "\n",
    "mypf=upf.polefigure(filename=filename,\n",
    "    #grains=grs_iso,\n",
    "    csym='hexag',cdim=[1,1,1.6235])\n",
    "\n",
    "t0=time.time()\n",
    "mypf.pf_new(poles=[[0,0,0,2],[1,0,-1,1]],\n",
    "            n_rim=2,lev_opt=0,lev_norm_log=True,\n",
    "            nlev=9,cmap='jet',dth=7.5,dph=5.,mn=0.5)\n",
    "print 'pf_new time:', time.time()-t0\n",
    "\n",
    "\n",
    "gcf().savefig('Mg_texture.pdf',bbox_inches='tight')\n",
    "gcf().savefig('Mg_texture.png',bbox_inches='tight',transparent=True)"
   ]
  }
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